Новинка

3221 руб.

Nonlinear Dynamics Chaos & Instability – Bds Software in C Source Code Mcintosh D3
Новинка

5380 руб.

Spintronics (also known as magnetoelectronics) is an emerging technology which exploits the intrinsic spin of electrons and its associated magnetic moments, in addition to its fundamental electronic charges. Utilization of the electron’s spins has advantages such as low power consumption, and non-volatility over the conventional electronic devices. Magnetization dynamics in magnetic nanoscale devices has been intensively studied recently due to its potential in memories and logic devices. Two aspects of magnetization dynamics have been investigated in this book such as magnetic domain walls (particle-like objects) and spin waves (wave-like objects). The effect of current-induced spin transfer torque on the magnetization dynamics in which spin angular momentum from conduction electrons transfers to local magnetic moments has been explored. The main purpose of this study is in the utilization of the magnetization dynamics for device applications and each chapter of the book explores various characteristics of the magnetization dynamics.
Новинка

6374 руб.

This book presents a study of magnetization switching dynamics in ferromagnetic nanofilms and nanopillars. The dynamics of the switching process is understood by solving the Equation of motion with Gilbert damping and Equation of motion with Gilbert damping and spin transfer torque respectively both analytically and numerically. The major issues considered in the book is to identify the possible ways to reduce the switching time and to minimise the critical/threshold field or current required to induce switching in the ferromagnetic nanofilms or nanopillars. Specifically, the impact of surface / interface anisotropy on switching time and critical field/current is investigated in detail.
Новинка

6426 руб.

Turbochargers are widely used in modern vehicle engines for boosting power, improving emission and increasing energy efficiency. Apart from the obvious benefit, the complexity of their nonlinear dynamic behaviours has to be encountered. As a high speed rotating device, a modern turbocharger rotor is commonly supported by floating ring bearings. This book is particularly to focus on analyzing their interesting dynamic behaviours.
Новинка

7079 руб.

This book covers theoretical and practical aspects of a very vibrant and emerging research field; magnetization dynamics. Several large experimental facilities that focus on detection and probing magnetization dynamics have been realized in Europe, USA and Japan. This increase in experimental activity has spurred theoretical efforts in describing these measurements, which are outlined in this book. Technological aspects of magnetization dynamics are also covered in this book, e.g. as concerns information technology, as well as the magnetic counterpart to micro-electronics, i.e. magnonics and skyrmionics.
Новинка

6201 руб.

The study of energy propagation and localization in optical lattices has become an important subject of research in several areas of science including mathematical physics, nonlinear optics and Bose-Einstein condensates. This book presents an original theoretical, numerical and experimental investigation of energy dynamics in nonlinear optical lattices. Theoretical work discusses nonlinear waves in both paraxial and nonparaxial regimes, the generation of solitons through nonlinear defects, the use of Lie groups in the study of ”universality” of physical models and finally ”accelerated” lattices with applications to dispersion spectroscopy. The numerical part consists in the realization of a nonlinear code to simulate light propagation in nematic liquid crystals, the latter being the material chosen for the experimental side of the work. Finally, experiments with voltage-driven nematic liquid crystals demonstrates tunable discrete diffraction, discrete solitons and their angular steering, multi-gap breathers and light driven Landau-Zener tunneling. The work discussed by this book led to the publication of 26 articles in peer-reviewed journals and 28 international conferences.
Новинка

4631 руб.

In these modern research areas the Non-linear Dynamics is a very popular topic, the researchers study the nonlinear behaviour of every system which can be an industrial machine/instrument or a theoretical aspect. Prior researchers already studied the nonlinear dynamics of Current Controlled DC-DC Boost Converter. But the Power Factor Corrected Boost Converter is a circuit which is used in very practical purpose where the input is AC, the AC is rectified to DC by diode bridge rectifier and the rectified DC is to feed the boost converter i.e. conventional pure DC supply is replaced by the rectifier DC. In this converter the circuit is designed specially as input power factor can maintain unity so it is called Power Factor Corrected (PFC) Boost Converter. This book aims to develop a circuit for PFC boost converter to observe Phase-Portrait and Bifurcation diagrams with varying of load and also discuss the control of chaos and bifurcations.
Новинка

7204 руб.

This is a companion monograph to Ma & St-Maurice: Ion Kinetic Theory of Auroral Plasmas, LAP Lambert Academic Publishing, 2011. Nonlinear waves observed in space plasmas are featured by simple-wave solitary structures and amplitude-modulated oscilliton wavepackets. Their wavefields are so strong that the traditional weak-field KdV formulation is not suitable to be adopted. A self-similar two-fluid model is thus used to account for the excitation, propagation, and effects of large-amplitude solitary waves in space plasmas. Both Cartesian and cylindrical geometries are considered. After introducing two mathematical methods usually used for classical solitary waves, generic, exact modelings are described on a step-by-step basis to characterize the evolution from amplitude-unmodulated simple-wave soliton modes to amplitude-modulated oscilliton ones. The effects of nonlinear waves on transverse ion heating and ion-cyclotron frequency broadening are discussed in details by employing a simple magnetic flux tube model. A summary and limitations of the work are also addressed. The research was also guided by Professor Akira Hirose, Canada Research Chair, University of Saskatchewan, Canada.
Новинка

6201 руб.

The first half of this book discusses the linear and nonlinear optimization of a storage ring lattice for SESAME project. Many aspects are used to get the optimum solution. The outcome of this study is a highly compact lattice which offers 41 % of the 133.2 m ring circumference as straight sections dedicated for Insertion Devices and other needs. The importance of including the vacuum chamber limitations in the nonlinear calculations is proved in SESAME case. This is supported by the results of Frequency Map Analysis. In the second half of the book a low momentum compaction factor optics is proposed for the storage ring of Synchrotron SOLEIL in France. This optics has the advantage of keeping the horizontal emittance small. This optics has been successfully applied to SOLEIL storage ring, and the Coherent Synchrotron Radiation in the THz region has been observed on an Infra Red beamline. During these experiments three beams have been observed rotating simultaneously in the storage ring. This phenomenon, which was the first seen in storage ring at that time, is explained and simulated by expanding the longitudinal dynamics to third order.
Новинка

4468 руб.

This book investigates the nonlinear behavior of circular plates under different types of loadings and physical fields, namely, thermal, electrostatic, and mechanical. The approaches used were perturbation and numerical techniques applied on different applications ranging from aerospace to micro-electro-mechanical systems (MEMS). The book should be of value to R&D engineers, researchers, and postgraduate students in Engineering and physics as well.
Новинка

5576 руб.

The first part of this book is focused on the design of a compass robot as a nonlinear dynamics system. Three components including robot’s structure, gear and motor are interacting during design process to achieve better performance, higher stability and lower cost. After achieving the design method, different actuators are selected for a given structure and the their performance are compared in the terms of cost, efficiency and their effect on the performance. In the second part of the book, the optimization of a nonlinear system with subject to the stability constraint is investigated. Including stability analysis in the optimization process, makes it very complicated and inefficient. Limit cycle convergence is the best solution among the existing methods. In this book, an important step is taken to upgrade the optimization. A computational algorithm is developed which obtains the convergent limit cycle in a short time. This algorithm speeds up the optimization time tremendously and allows the optimization search in a broader area. Even tough a compass robot is considered as an example of the nonlinear system, this algorithm is applicable to all nonlinear dynamics systems.
Новинка

2848 руб.

Nonlinear Dynamics Chaos & Instability – Bds Software IBM D3
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5135 руб.

Nonlinear Dynamics Chaos & Instability – Statistical Theory & Economic Evidence
Новинка

7204 руб.

The mechanical transduction gain of nanoelectromechanical systems (NEMS) has been thoroughly studied, but the drive power has always been a priori limited to the onset of non-linearities. Besides, the smaller the structures, the sooner non-linearities occur, reducing their dynamic range and even making extremely difficult to detect their oscillation. In this thesis, this limitation is reconsidered, i.e. the non-linear dynamics of M&NEMS sensors is investigated. Several analytical design rules are provided in order to enhance the dynamic range of nanoresonators and the detection limit of NEMS-based resonant sensors. These rules essentially include hysteresis suppression by non-linearity cancellation as well as mixed behavior and pull-in retarding under superharmonic resonance and simultaneous resonances leading to the possibility of driving the resonator linearly at high oscillations compared to the critical amplitude. The experimental validation of the model has been performed in the case of resonant capacitive MEMS and M&NEMS accelerometers and gyroscopes as well as capacitive and piezoresistive gas/mass sensors.
Новинка

6201 руб.

After 25 years, the microscopic mechanism of High-Tc superconductivity is still an open problem. In particular, the role of lattice vibrations is not yet clear. Many of the proposed models invoke unusual vibrational properties, such as nonlinearity in the interatomic potentials. In this thesis we present a combined experimental and theoretical study of lattice anharmonicities in cuprates. We first introduce and describe our Extended X-Ray Absorption Spectroscopy (EXAFS) experiments. We then develop a novel data analysis technique, which enables us to measure directly the nonlinearity in the interatomic potentials of the copper-oxide planes, which constitute the basic structural unit of all cuprates. Finally, based on our experimental results, we introduce a simple dynamical model of the copper-oxide layers. We study this model both analytically and numerically, showing the emergence of anharmonic localised excitations known from nonlinear physics as discrete breathers.
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8925 руб.

Introduces the latest developments and technologies in the area of nonlinear aeroelasticity Nonlinear aeroelasticity has become an increasingly popular research area in recent years. There have been many driving forces behind this development, increasingly flexible structures, nonlinear control laws, materials with nonlinear characteristics, etc. Introduction to Nonlinear Aeroelasticity covers the theoretical basics in nonlinear aeroelasticity and applies the theory to practical problems. As nonlinear aeroelasticity is a combined topic, necessitating expertise from different areas, the book introduces methodologies from a variety of disciplines such as nonlinear dynamics, bifurcation analysis, unsteady aerodynamics, non-smooth systems and others. The emphasis throughout is on the practical application of the theories and methods, so as to enable the reader to apply their newly acquired knowledge. Key features: Covers the major topics in nonlinear aeroelasticity, from the galloping of cables to supersonic panel flutter. Discusses nonlinear dynamics, bifurcation analysis, numerical continuation, unsteady aerodynamics and non-smooth systems. Considers the practical application of the theories and methods. Covers nonlinear dynamics, bifurcation analysis and numerical methods. Accompanied by a website hosting Matlab code. Introduction to Nonlinear Aeroelasticity is a comprehensive reference for researchers and workers in industry and is also a useful introduction to the subject for graduate and undergraduate students across engineering disciplines.
Новинка

3274 руб.

In this Book, a new measured based friction model is developed to describe the vehicle lateral dynamics which are modeled by a so called two-track vehicle model. The effects of load transfer and the effects caused by slip angles in relation to the track width of the vehicle can be included in this model. On the other hand, the two- track vehicle model incorporates a more sophisticated tire model in order to accurately represent the tire forces and study the vehicle behavior in the nonlinear region. Simulation and experimental results show that, within a considerable range of slip angle, there is a good agreement between the simplified two-track vehicle model and the simulated test data from CarSim. A nonlinear observer for estimation of lateral velocity and yaw rate of automotive vehicles is proposed. This observer is based on yaw rate measurement in addition to steering angle, longitudinal velocity and longitudinal forces measurements. Stability of the proposed observer is investigated with Lyapunov direct method. Simulation results are presented to validate the nonlinear observer, the friction model and to explore automobile behavior in different scenarios.
Новинка

4550 руб.

Magnetization of water is an interesting process. Where the interaction of magnetic energy with water has stimulated a spreading research interests, which may be essential for widening the use of magnetized water in various areas as well as understanding the fundamental physics of such interaction. The importance of magnetized water has been arisen from its versatile use in industry, Agriculture, irrigation, medicine and many. So far, the effect of magnetic field on water has been recognized as nonlinear problem and proposed the mechanism of magnetization of water is according to the structure and distribution of its molecules.
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19298 руб.

A long-standing unsolved problem in economic theory is how economic equilibria are attained. Price Dynamics in Equilibrium Models: The Search for Equilibrium and the Emergence of Endogenous Fluctuations considers a number of adjustment processes in different economic models and investigates their dynamical behaviour. Two important themes arising in this context are "bounded rationality" and "nonlinear dynamics". Important sub-themes of the book are the following: how do boundedly rational agents interact with their environment and does this interaction in some sense lead to rational outcomes (which may or may not correspond to equilibria)? The second sub-theme deals with the consequences of the nonlinear dynamical nature of many adjustment processes. The results presented in this volume indicate that endogenous fluctuations are the rule rather than the exception in the search for equilibrium. The book uses the theory of nonlinear dynamics to analyze the dynamics of the different economic models. Due to the complexity of most of the models, an important role is played by computational methods. In particular, at regular instances the models are analyzed by numerical simulations and some computer-assisted proofs are provided. It also covers a wide range of dynamical models from economic theory. Most of these models merge the theory of nonlinear economic dynamics with the theory of bounded rationality. The book is written for anyone with an interest in economic theory in general and bounded rationality and endogenous fluctuations in particular. It is entirely self-contained and accessible to readers with only a limited knowledge of economic theory.
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7466 руб.

Every aircraft is a flexible body and its motion should be evaluated by the continuum mechanics. However, in the flight mechanics, they are commonly treated as rigid. In other way, in the structural dynamics scenario, rigid body modes are usually neglected. Such segregation is acceptable when sufficient separation exist between the frequencies of rigid and flexible modes. But, trends in the aircraft industry are leading to longer fuselages, larger aspect ratios, smaller thicknesses and the use of composite materials. Such configurations are more flexible and integrated models for flight mechanics and structural dynamics should be taken. This book develops the theme in a scenario of modelling, simulation and optimal control. Models of conceptual flexible aircraft are built in order to be used in control studies. A nonlinear optimal model following control is proposed. Linear solutions are developed, nonlinear approaches are also investigated, via neural networks. The technique is used to approximate the flexible aircraft as a rigid body, letting the job of controlling flexible modes to the automatic control, while an human or autopilot can see the aircraft as a usual rigid body.
Новинка

5283 руб.

This book is concerned with the study of nonlinear water waves, which is one of the important observable phenomena in Nature. This study is related to the fluid dynamics, in general, and to the oceans dynamics in particular. The solutions of nonlinear PDEs with constant and variable coefficients, which describe the wave motion of undulant bores in shallow water, are investigated by using various analytical methods to illustrate the relation between solitary and water waves. The important ideas and results for nonlinear dispersive properties and solitons, which originated from the investigations of water waves, are discussed. The stability analysis for the second order system of PDEs is studied by using the phase plane method. In addition, we use perturbation methods to study the water wave problems for an incompressible fluid under the acceleration gravity and surface tension. The conservation laws of some PDEs are established. We illustrate the resulting solutions in several 3D-graphics showing the shock and solitary wave nature in the flow. This book contains many concepts of water wave motion and different mathematical methods that help researchers in the relevant topics.
Новинка

4631 руб.

Nonlinear difference equations of order greater than one are of paramount importance in applications. Such equations appear naturally as a discrete analogues and as numerical solutions of differential equations and delay differential equations. They have models in various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our goal in this thesis is understanding the dynamics of nonlinear difference equations to construct the basic theory of this ?led. We believe that the results of this thesis are prototypes towards the development of the basic theory of the global behavior of solutions of nonlinear difference equations of order greater than one. Now we are going to give some examples for applications of difference equations.
Новинка

5576 руб.

Describing GDP as a superposition of waves, associated to the cyclic behavior of its components and applying an extreme action Lagrange formalism analysis and path integral calculation approach, it is shown that the GDP evolution is done through multiple equilibria and that the long term development cycles are shortened by nowadays short time cyclic processes. The capability to apply physical systems dynamic and the path integral method to the behavior of GDP and its components allows predictions of stable and unstable behavior. It is shown that before the crisis the finance is showing divergent (unstable) behavior that may become an indication of crisis onset. More research is needed on this approach but present results are promising.
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3547 руб.

In this work the magnetic Barkhausen noise is studied by two simple 1D models. The first is a spring-block type model which is based on a mechanical analogy and its aim is to explain the basic features of domain-wall dynamics and magnetization processes in ferromagnetic materials. Despite its simplicity the spring-block model yields the realistic shape of hysteresis loops with Barkhausen jumps, it is able to reproduce the interesting phenomenon of disorder-induced phase transition, as well as the good statistics of Barkhausen noise. The second model is a spin Hamiltonian model, which is also a simplified 1D model defined by a Hamiltonian which contains all the interactions that are relevant in real ferromagnets: Ising-type exchange, pinning, interaction with the external field, demagnetization. The model is able to reproduce all the expected statistical properties of Barkhausen noise. In addition, there is a possibility to study the stochastic resonance in this model because it is suitable for Monte Carlo simulations.
Новинка

6417 руб.

The study of systems of nonlinear differential equations will be very useful to analyze the possible past or future outcomes with the help of present information in any natural dynamical systems. The present book studies some autonomous nonlinear systems of ordinary differential equations. It focuses on their applications to population dynamics problems in mathematical ecology. In particular, the following aspects are the main objectives of the present work: I) The stability of the equilibrium points. II) The behavior of solution around equilibrium points. The first chapter presents some standard basic concepts, definitions, notations, theorems and methods. The second chapter is devoted to the study of Kolmogrov models of population dynamics; Rosenweig-Mac Artur model; including competition and coexistence factors for mutual benefit of two species. The third and fourth chapters analyze the extended Lotka-Volterra predator-prey models including intraspecies factors. The behavior of solution around these equilibrium points are studied in detail.
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3960 руб.

Object for study is multicomponent media with the internal exchanged processes. Intrinsic inhomogeneities give rise to the remarkable/unusual nonlinear behaviors demonstrated by these media at quasistatic and dynamic mechanical loads. The purpose of this book is to describe the dynamic behaviors of there media in terms of physically motivated models. New method of structure diagnostics by means of the nonlinear waves is suggested. The research of nonlinear evolution equations is carried out. The special attention is focused on development of models for describing both stress-strain properties of sandstone under quasistatic loading and vibration resonance in sedimentary rocks. The important result is theoretical prediction of a dynamic effect analogous to the known quasistatic effect of hysteresis with discrete memory. The models describe the experimental results and can be applied for future research. The reader may find some suggestions for future research herein, and open up questions that may be especially useful for young scientists. I hope that the reader will receive a more or less objective picture of the current state of the art of the wave dynamic of the structured media.
Новинка

4631 руб.

The purpose of this monograph is to provide illustrative examples of nonlinear modeling of oceanic and atmospheric dynamics and associated energetic. Particularly,exact solutions for the Navier-Stokes equations and the corresponding energy balance associated with an atmospheric motion around the Earth are presented. Additionally,nonlinear internal gravity waves forming a column of stratified fluid affected by the Earth's rotation are considered. In terms of linear modeling,the energy density was visualized as spinning patterns that appear to be rotating in an anticlockwise sense. Such spinning patterns were compared with the flow around a low-pressure area that is usually being linked with a modeling of hurricanes. In terms of nonlinear analysis,several classes of exact solutions were found.One particular class was visualized as funnels having something in common with the geometric structure of oceanic whirlpools. Up to the present,it remains an open issue where the whirlpools came from and what surprises they may bring to. However,it is recognized that the oceanic whirlpools play a key role in global climate. Additionally,such whirlpools show influence on the atmosphere.
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5380 руб.

The purpose of this thesis is the study of the influence of impurities on the nucleation rate of kink-antikink pairs in nonlinear deformable systems. We study the dynamics of solitary waves in the generalized Frenkel-Kontorova (GFK) model, discussed about kink pro?les and energy in the continuum limit of this model and present Some conclusions concerning the interactions of kink in the system.The influence of the Gaussian approximation on the nucleation rate of kink-antikink pairs in a nonlinear deformable chain is performed and a new formula for the nucleation rate of kink-antikink pairs is determined. Using the Kolmogorov method in the GFK model in the presence of external forces and impurities, we set o? analytical expression of the nucleation rate in the system. A Numerical application of this theory is made by using existing data. We end by investigating the role of the applied ?eld on the nucleation process in an inhomogeneous deformable chain. The Hamiltonian formalism allows us to model the system. We derive numerically the depinning threshold ?eld of the system and show the in?uence of the deformability of the impurity potential on this depinning threshold ?eld.
Новинка

5576 руб.

In present book are represented obtained by authors results of investigations of various unsteady problems of waves propagation in different media. In Introduction there are described obtained solutions of problems for three dimensional linear and nonlinear waves, including investigations of diffraction nonlinear problems, caustics, nonlinear quasi-monochromatic waves, narrow nonlinear gaussian beams, various unsteady mixed boundary value problems of elasticity, solved by Wiener-Hopf technique and derivation of solution in Smirnov-Sobolev form, exact 3D method of determination of frequencies of vibrations of magneto-elastic and piezo-electric plates and shells by derivation of transcendent equations and their numerical solution, as well as, in solution of problems of investigation of probabilities and prognosis for stochastic processes in various branches of science.
Новинка

4733 руб.

This work addresses the dynamical inverse problem of EEG source reconstruction by using two main approaches: Dynamic Inverse Problem solution considering Time Varying and Time invariant Constraints, and Weighted Dynamic Inverse Problem solution. Discussed approach of representation comprises two main contributions: Firstly, the introduction of a discrete--time nonlinear model grounded on physiological considerations that explains better the dynamics of the brain neural activity. Secondly, the inclusion of estimation of time varying parameters that allows the enhancement of the nonlinear model, making it suitable for electroencephalographic source localization of such abnormal neuronal activity as epileptic seizures. The estimation that is performed using proposed nonlinear dynamic models with time varying parameters provides an improvement in terms of reconstruction error, if comparing with similar referred linear approximations.
Новинка

3393 руб.

In this work , A stability analysis of an eco-epidemiological model incorporating prey refuge is investigated . Two types of prey- predator models with disease in a prey incorporating prey refuge are proposed and analyzed Both models are represented mathematically by system of nonlinear differential equations. The existence, uniqueness and boundedness of the solutions of these two models and the permanence are investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, numerical simulation is used to study the global dynamics of both models.
Новинка

5283 руб.

In system dynamics models, distributions for uncertain parameters are required for testing model sensitivity. As well in the same context, it could be used to test sensitivity and robustness for new policies. Moreover, these distributions could be used for confidence intervals estimation and hypothesis testing. Residual bootstrapping technique (RBT) is one of bootstrapping techniques that could be used for estimating parameters distributions for system dynamics models. RBT is a statistical technique based on resampling residuals for fabricating “new historical data”. These new historical data is used to fit the model and get new estimates for the parameters. Repeating this many times will generate many estimates for the parameter(s). In this work a proposed method based on RBT is used to improve the bias that could be resulted from estimation. The commodity cycle model for hogs in USA is used as case study. Some table relationships in this model have been replaced by nonlinear functions. RBT is used for estimating parameters distributions for these nonlinear functions.
Новинка

7204 руб.

Multibody spacecraft are used in a wide range of applications in near-Earth space, from manned space stations to unmanned space telescopes. Such systems cannot be modeled as point mass particles. Their dynamics are quite complex, being characterized by linear and nonlinear coupling between different degrees of freedom. This work explores how such dynamical coupling can be used to make changes in orbit and attitude using internal motions in a controlled manner. The methods outlined here lead to control maneuvers for multibody spacecraft without using chemical fuel. With increasing risks to space assets in Earth orbits from space debris, such control methods are both timely and valuable.
Новинка

4243 руб.

In the field of molecular imaging, the carrying out of protocols by means of magnetic resonance imaging (MRI) is a very attractive target for the high anatomical resolution of this technique. A promising strategy to reach this goal is related to the use of MRI nanosized probes for delivering a large number of contrast agents at the sites of interest. My PhD research focused on the preparation and the chemical physical characterization of new functionalized nanosystems for molecular MRI applications. The systems taken into account are based on ultrasmall superparamagnetic iron oxide nanoparticles (USPION), suitably functionalized with organic and inorganic ligands, and folate-functionalized apoferritin loaded with Gd-HPDO3A. Moreover, several aspects concerning the application as molecular MRI probes have been studied, e.g. the relaxometric behaviour, the toxicology on human immune cells and the evaluation of diagnostic capability in vitro and in vivo. This book is a good introduction to the topic of the nanosized probes for molecular MRI since it provides basic concepts, particularly about the magnetic and relaxometric properties, as well as a detailed and useful experimental part.
Новинка

7466 руб.

The current work focuses into two main directions ofrotor dynamics object: the simulation ofa rotor-bearing system and the detection of defectsthat are commonly appeared in rotating systems. Thetransverse breathing crack in a rotor and the radialyextended wear in a bearing are the defects presentedin the simulations. The persuasion is initialy tomake a proposal in rotor-bearing system nonlinearsimulation and secondly to suggest methods able todetect the transverse breathing rotor crack and thebearing wear. Time-frequency analysis is performedusing continuous wavelet transform in numerical andexperimental time histories in order to extract thevariable coupling phenomenon exclusively due to thebreathing crack from the other two main reasons ofcoupling, the bearings and the shaft. The mainspeculations are that both defects have to bedetected in an early growth and without the demand ofinterrupting the operation of the system since thiscannot be always feasible in real rotating machinery.The growths of the defects have to be at least of 10%of rotor radius for the crack, and 20% of bearingradial clearance for bearing wear.
Новинка

6426 руб.

The aim of this book is to introduce and study some chaotic and hyperchaotic complex nonlinear systems. Basic properties of these systems including symmetry, dissipation and stability of the equilibrium points are analyzed. The dynamics of these systems is rich in the sense that our systems exhibit chaotic, hyperchaotic attractors, periodic, quasi-periodic solutions and solutions that approach fixed points. Numerically the range of parameters values of the system at which hyperchaotic attractors exist is calculated based on the calculations of Lyapunov exponents. The signs of Lyapunov exponents provide a good classification of these systems. The dynamics of these systems is also studied by calculating its bifurcation diagrams. A circuit diagram is designed for one of hyperchaotic complex systems in chapter 5 and simulated using Matlab/Simulink to verify the hyperchaotic behavior. The problem of chaos and hyperchaos control is treated by adding the complex periodic forcing. The control performances are verified by calculating Lyapunov exponents.
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7466 руб.

This work is an empirical investigation of the nonlinear dynamics of stock markets with emphasis on Indian stock market. There are two main schools of time series analysis. The traditional one, which has a long pedigree in applied statistics, is prevalent among statisticians, social scientists (especially econometricians) and engineers. The more recent school, developed essentially since the 1970s, comes out of physics and nonlinear dynamics. The first views time series as samples from a stochastic process, and applies a mixture of traditional statistical tools and assumptions (linear regression, the properties of Gaussian distributions) and the analysis of the Fourier spectrum. The second school views time series as distorted or noisy measurements of an underlying dynamical system, which it aims to reconstruct. The authors use use methods from this second school to investigate the critical periods of stock market, as well as examine the underlying periodicity of different markets. In the end the celebrated Geometric Brownian Motion model of stock price movement is pitted against another model and the efficacy tested using these methods. The conclusions favour the newer model.
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4468 руб.

Great efforts have been made these last decades to understand phenomena occurring at microscopic scale. At this stage, classical physics alone can not describe the dynamics of a system be it regular or nonlinear complex one. This book deals with the dynamics of classically regular systems under several polynomial and sinusoidal potentials. We both analytically and numerically study the extended semiquantum dynamics through the introduction of quantum fluctuation degrees of freedom in a time dependent variational principle using generalized Gaussian wave function. After a literature review on the topic, the methodology is widely exposed. At last we present the main results of this work on: the cubic-quartic potential with the modulational instability criterion in the case of wave propagation; the triple and multiple well adjustable potential heterostructures; the sinusoidal potential model with the torsional dynamics of butane molecule. The analysis and results presented in this book shall help shed light on these new and exciting mesoscopic investigations, and should be especially useful to researchers in quantum fundamental and experimental physics to prevent unexpected phenomena.
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478 руб.

Joshi: Some Topics In ?nonlinear? Functional Analysis (paper)
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3274 руб.

The main theme of this book is the study of the three-dimensional (3D) propagation dynamics of spatio-temporal wave packets. The Airy-Bessel wave packet is the main wave packet to be studied in the thesis. Other wave packets such as Airy-Airy-Airy and dual-Airy-Airy-rings are also investigated. An Airy-Bessel wave packet has been studied as a ``linear light bullet'' since it can propagate without dispersion or diffraction in the linear regime. An Airy-Airy-Airy wave packet also belongs to the family of ``linear light bullet''s. It has been studied both in the linear and the nonlinear regime. A dual-Airy-Airy-rings wave packet is a wave packet which has been just recently proposed. It can autofocus in an abruptly way which can be useful in some applications such as bio-imaging. For a dual-Airy-Airy-rings wave packet, to the best of our knowledge, it is the first time that such wave packet is experimentally generated. The 3D autofocusing effect is observed and measured in 3D.
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4243 руб.

The dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in predator population, which divided it into two compartments; namely susceptible population and infected population , are proposed and analyzed. The first proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals using linear type of incidence rate. While, the second proposed model deals with SIS infectious disease that transmitted through the direct contact between susceptible and infected individuals only using nonlinear type of incidence rate. Both the models are represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of these two models are investigated. The local and global stability conditions of all possible equilibrium points are established. The occurrence of local bifurcation and Hopf bifurcation near each of the equilibrium points are discussed. Finally, numerical simulation is used to study the global dynamics of the both models.
Новинка

4468 руб.

Chaos! Chaos is Gaea, Chaos is Love of Life! Life came from Chaos, lives in Chaos and into Chaos life evolves! The present work is a culmination of the ongoing study and evaluation of variability profile of human physiology. The study on variability pattern of electrocardiographic signals (heart rate variability) both in disease and health was initiated in the year 2003 and in due course the task of exploring another physiological time series, electroencephalographic (EEG) signals in health was taken up. Incidentally, while evaluating neural dynamics in health it was observed that EEG signals follow the principles of chaos – a chance finding, nothing new, as the tenet had already been documented and published some 20 years ago! The nervous system of humans, in health, work on the principles of nonlinear dynamics, observing a pre-ordained chaotic trajectory in the phase-space, with an order in the seeming disorder. The work was presented at the European Federation of Neurological Societies (EFNS) Congress at Florence, Italy in September, 2009. It was the first step into the fascinating frontiers of Chaos and since then efforts are on to fathom the intricacies of Neural Dynamicss
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7078 руб.

This book comprises three major parts, each containing some solved examples related to real life situations. The first part is the Calculus, it includes theories and formulas accompanied by solved examples. Readers will be able to think critically and manage to solve business problems using Calculus tools. The second part of the book is the Numerical Analysis, where MATLAB software is used to solve Calculus problems numerically. In the same part, algorithms are provided to be used while solving problems analytically. The comparison is made between analytical and numerical solutions. The last part is really the application of Ordinary Differential equations known as mathematical modeling of nonlinear problems. Some applications such as, population dynamics, chemical reactions, Lorenz equations and epidemic models were analyzed. During the analysis different figures were drawn showing the model numerical solution. Exercises at each Chapter in the book are provided.
Новинка

7204 руб.

Applied Magnetofluid Dynamics: Modelling and Computation discusses a selection of advanced topics in linear and nonlinear flows of electrically-conducting fluids. It uses a differential equation model-building approach to study such phenomena, including in each chapter details of mathematical formulations, literature reviews, analytical and numerical solution procedures and interpretation. Many complex phenomena, not previously considered in other textbooks in magneto-fluid dynamics (MFD) are considered. These include resonance, magnetic squeeze films, non-Newtonian magneto-hydrodynamics and magneto-heat transfer from conical and rotating bodies. Applications of the models discussed range from magnetic materials processing to physiological flows and aerospace engineering. Complex variables, asymptotic methods, element free Galerkin methods, finite differences, MAPLE, homotopy, finite element, local nonsimilarity and network simulation methods are all described in detail.
Новинка

3925 руб.

Nonlinear Econometric Modeling in Time Series Analysis presents recent developments in this important area of research. This is the first volume to focus on the more recent literature on nonlinear time series. Specific topics covered with respect to nonlinearity include cointegration tests, risk-related asymmetries, structural breaks and outliers, Bayesian analysis with a threshold, consistency and asymptotic normality, asymptotic inference, and error-correction models.
Новинка

6426 руб.

Dynamical properties and synchronization of chaotic and hyperchaotic systems involving real variables have been studied and investigated in applied sciences over the last 30 years. There is, however, a wide variety of the physical problems which, from mathematical point of view, can be studied more conveniently by using complex variables. The dynamics of these systems is rich and complex. The aim of this monograph is to introduce and analyze some chaotic and hyperchaotic complex nonlinear systems. The basic dynamical properties of these systems are presented. The control problem of hyperchaotic attractors of these systems is also stated. Several types of synchronization of chaotic and hyperchaotic complex nonlinear dynamical systems are investigated in this monograph. This monograph is mainly addressed to graduate students and senior researchers interested in the study of chaotic and hyperchaotic complex (or real) nonlinear dynamical systems.
Новинка

5380 руб.

The basic concepts leading to some of the hot carrier driven steady-state and transient second and third-order nonlinear optical processes such as parametric interaction, amplitude modulation demodulation, frequency modulation and stimulated Brillouin scattering in diffusive semiconductors and their applications to parametric oscillator, amplifier and phenomena like optical communication and phase conjugation in presence of magnetostatic field is discussed in detail. These nonlinear processes in diffusive semiconductors are described with emphasis on the physical reason for their occurrence.
Новинка

6201 руб.

Secondary ion mass spectrometry (SIMS), in which energetic ions are implemented to interrogate the surface, is an efficient technique for the molecular analysis and imaging of solid surfaces. Improving the yield of secondary ions remains a challenge in SIMS. Metal-Assisted SIMS (MetA SIMS), where a small quantity of metal (Au, Ag, Pt…) is condensed on the sample surface, was one among the proposed ways to increase the yield using keV monatomic projectiles. In this thesis, the yield enhancements obtained upon 12 keV Ga+, 30 keV Bin+ (n =1,3,5) and 6MeV O3+ bombardment on metal deposited organic materials are investigated. Following from the studies in Metal Assisted Secondary Ion Mass Spectrometry (MetA SIMS), gold nanoparticles condensed on the surface of organic materials were used as an alternative to the Matrix-Assisted Laser Desorption Ionization (MALDI). The results suggest that Metal-Assisted LDI (MetA LDI) provides an interesting alternative to MALDI for the surface analysis and, potentially, imaging of certain classes of materials, when a minimal perturbation of the surface structure is desired.
Новинка

5380 руб.

The linear (nonlinear) propagation of the dust-acoustic waves in a nonuniform (two-ion-temperature) dusty plasma has been rigorously investigated. The linear part is aimed to examine the effects of dust density nonuniformity and the polarization force (PF), consists of electrons, ions and inertial arbitrarily charged dust whereas nonlinear part is concerned with solitary waves and double layers with two-ion-temperature plasma. Comprehensive and up-to-date theme of PF inherits from nonuniformity, would substantially assist anyone to gain a thorough knowledge including its mountingly consequential roles in linear wave dynamics. Nonlinear Gardner solitons exist around the critical value. The emphasis of PF is laid more on the fundamental principles as well as its implications, contemporary applications, from recent reviews than on minute details. Our present survey relevant to the electrostatic linear-nonlinear structures observed in cosmic and laboratory plasmas, is of utmost importance.
Новинка

5380 руб.

A rigorous theoretical investigation has been made on linear and nonlinear structures (solitons, shocks, double layers, etc.) associated with dust-acoustic (DA) waves in four-component dusty plasma (composed of inertialess electron and ion fluids, and negatively as well as positively charged inertial dust fluids). The results may be useful in understanding the localized electrostatic disturbances in both space environments and laboratory devices.
Новинка

5380 руб.

The active area of research investigation during the past sixty years has been the study of solitons and related nonlinear real world phenomena that cannot be explained with the linear evolution equations. A Lagrangian based approach has been derived to study the properties of the nonlinear evolution equations. This book will provide the background of fundamental ideas and classical Lagrangian approach to understand nonlinear real-world wave phenomena, soliton dynamics, symmetry, supersymmetric realization and some important methods for solving the nonlinear equations up to the level of present-day active research on these and related topics. I hope this will stimulate future research on understanding the nonlinear problems and may be a useful source book for researchers, graduate students enrolled in M.S and Ph.D degree programs. Considering the multidisciplinary nature and important applications almost all universities offer a high-level graduate course devoted to frontier topics like nonlinear wave theory, integrable systems, solitons, symmetry and supersymmetry. It will be a useful text for graduate and senior-level courses dealing with above topics.
Новинка

5380 руб.

A bifurcation theory is applied to multimachine power system to investigate the complex dynamics of the system. The second system of the IEEE second benchmark model of Subsynchronous Resonance (SSR) is considered. The system can be mathematically modeled as a set of first order nonlinear ordinary differential equations with the compensation factor as a bifurcation (control) parameter. Therefore, bifurcation theory can be applied to nonlinear dynamical systems. Initially, the system is modeled as a set of first order nonlinear ordinary differential equations with the compensation factor as a bifurcation parameter. The effect of machine components, i.e. damper winding, Automatic Voltage Regulator (AVR), and Power System Stabilizer (PSS), and machine saturation are considered. Linear and nonlinear controllers are used to control the Hopf bifurcation and chaos utilizing bifurcation theory and center manifold theory. Furthermore, Flexible AC Transmission System (FACTS) controllers such as the Thyristor Controlled Series Capacitor (TCSC), the Static Synchronous Series Compensator (SSSC) and the Static Compensator (STATCOM) are used to control bifurcations of SSR in the considered system.
Новинка

3214 руб.

In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Eugene M.Izhikevich is Chairman and CEO of Brain Corporation in San Diego and was formerly Senior Fellow in Theoretical Neurobiology at the Neurosciences Institute, San Diego. He is editor-in-chief of Scholarpedia, the free peer-reviewed encyclopedia.
Новинка

3428 руб.

Multiple Integrals in the Calculus of Variations & Nonlinear Elliptic Systems (Paper)
Новинка

4468 руб.

The use of Quadrotor UAVs has been widely well known. It has capability to hover, vertical take-off and landing (VTOL) with having less complexity in vehicle dynamics compared with small helicopter. It is basically an unstable system and exhibits nonlinear behavior. This book describes the development of nonlinear model of quadrotor dynamics derived from Newton-Euler formulation and presented under Matlab/Simulink environment. The Model is equipped by Stability Augmentation System (SAS) to maintain the quadrotor level flight (attitude stability). The autonomous mission for this vehicle is fixed for trajectory following. LQR Optimal control was chosen to accomplish this mission.
Новинка

4468 руб.

The monograph is designed to illustrate some important wave phenomena in plasma with some current problems .Chapter 1 deals with Landau damping of ion-acoustic waves in a multicomponent plasma. In Chapter 2 we discuss the possibilities of the radiation of electromagnetic waves by the conversion of ion-acoustic waves in the ionosphere and solar corona. In Chapter 3 we consider the propagation of ion-acoustic solitary waves in a drifting plasma with nonthermal electrons. Chapter 4 deals with the study of ion-acoustic double-layers in a multicomponent drifting plasma. In Chapter 5 modulational instability of high frequency surface waves on a warm plasma half-space has been investigated. In Chapter 6 a theoretical estimation has been carried out for the nonlinear Faraday rotation of obliquely propagating ion-cyclotron whistlers in the ionosphere. Resonant interaction of MHD wave with its second harmonic in a planar plasma-filled waveguide has been considered in Chapter 7. Quantum effects in plasma on the linear and nonlinear behaviour of electron plasma waves have been considered in Chapter 8. In the last chapter the theory of generation of magnetic moment field has been considered
Новинка

5380 руб.

The concept of code-division multiple access (CDMA) was introduced into optical systems in the middle of 1980’s as optical CDMA (OCDMA) so that encoding and decoding operations are all performed in optical domain using optical devices and large number of users with asynchronous access capability. In addition to the good performance at high number of users and asynchronous access to the network, OCDMA provides the users with high security by coding the data before transmission. However, there are various nonlinear effects that limit the performance of OCDMA systems. In particular, nonlinear stimulated Raman scattering (SRS) can severely limit the performance of OCDMA systems through the transfer of energy between the signals at different wavelengths. This work is attempting to understand the SRS effects on the performance of OCDMA systems, and thus, to determine the fundamental transmission limits in OCDMA systems in the presence of SRS nonlinear effects. It is demonstrated through numerical simulations that the performance of OCDMA systems, at high input powers, large number of users and/or long transmission distances, is significantly degraded due to SRS effects.
Новинка

4468 руб.

A theoretical investigation has been made on the nonlinear propagation of electrostatic perturbation modes in an unmagnetized relativistic degenerate dense plasma without and with charged dust grains. The electron-ion plasma (plasma without dust) mainly contains relativistic degenerate electrons and ions, while the dusty plasma (plasma with dust) mainly consists of relativistic degenerate electrons and ions and negatively or positively charged static dust. The reductive perturbation method, which allows us to derive the Korteweg-de Vries (K-dV) and Burgers equations, has been employed. The nonlinear structures (viz. solitary and shock waves), which are formed due to balance between nonlinearity and dispersion (in case of solitary structures) or dissipation (in case of shock structures), have been theoretically analyzed for certain ranges of plasma parameters in case of both non-relativistic and ultra-relativistic limits. The results, which have been found from these investigations have been pin-pointed in the end of each chapter. The implications of the results in some astrophysical compact objects have been briefly discussed.
Новинка

268 руб.

Dynamics in Psychology (Paper)
Новинка

4338 руб.

The contributions of the author in the areas of Nonlinear Functional Analysis and Operator Theory have resulted to several scholarly articles, published in reputable international journals, and this book. The book is a thrilling exposure of some nonlinear operators, Banach spaces, the existence of fixed points of some nonlinear operators in certain Banach spaces and iterative sequences together with their convergence to fixed points of some nonlinear operators in Banach spaces. The application of the results obtained in the treatise can be brought to bear on contemporary problems arising in Applied Mathematics and several other disciplines such as Biology, Economics and Engineering. The book should be a spring-board for young mathematicians who have the dream of pursuing academic excellence in the areas of Nonlinear Functional Analysis and Operator Theory. A long-standing unsolved problem in economic theory is how economic equilibria are attained. Price Dynamics in Equilibrium Models: The Search for Equilibrium and the Emergence of Endogenous Fluctuations considers a number of adjustment processes in different economic models and investigates their dynamical behaviour. Two important themes arising in this context are "bounded rationality" and "nonlinear dynamics". Important sub-themes of the book are the following: how do boundedly rational agents interact with their environment and does this interaction in some sense lead to rational outcomes (which may or may not correspond to equilibria)? The second sub-theme deals with the consequences of the nonlinear dynamical nature of many adjustment processes. The results presented in this volume indicate that endogenous fluctuations are the rule rather than the exception in the search for equilibrium. The book uses the theory of nonlinear dynamics to analyze the dynamics of the different economic models. Due to the complexity of most of the models, an important role is played by computational methods. In particular, at regular instances the models are analyzed by numerical simulations and some computer-assisted proofs are provided. It also covers a wide range of dynamical models from economic theory. Most of these models merge the theory of nonlinear economic dynamics with the theory of bounded rationality. The book is written for anyone with an interest in economic theory in general and bounded rationality and endogenous fluctuations in particular. It is entirely self-contained and accessible to readers with only a limited knowledge of economic theory.