Nonlinearity and Disorder: Theory and Applications

Nonlinearity and Disorder: Theory and Applications
Author: Fatkhulla Abdullaev
Publisher: Springer Science & Business Media
Total Pages: 444
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401005427

Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001

Nonlinear Elasticity

Nonlinear Elasticity
Author: Y. B. Fu
Publisher: Cambridge University Press
Total Pages: 541
Release: 2001-05-07
Genre: Mathematics
ISBN: 0521796954

Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.

Nonlinearity, Bifurcation and Chaos

Nonlinearity, Bifurcation and Chaos
Author: Jan Awrejcewicz
Publisher: BoD – Books on Demand
Total Pages: 360
Release: 2012-10-24
Genre: Mathematics
ISBN: 9535108166

Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering. It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested in the field of nonlinearity, bifurcation and chaos.

Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications

Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications
Author: Luis Vazquez
Publisher: World Scientific
Total Pages: 382
Release: 1996-06-20
Genre:
ISBN: 981454809X

This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.

Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology

Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology
Author: Santiago Cano-casanova
Publisher: World Scientific
Total Pages: 289
Release: 2005-09-29
Genre: Science
ISBN: 9814479268

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis — from the most abstract developments up to the most concrete applications to population dynamics and socio-biology — in an effort to fill the existing gaps between these fields.

Nonlinear Dynamics

Nonlinear Dynamics
Author: Richard A. Heath
Publisher: Psychology Press
Total Pages: 400
Release: 2014-04-04
Genre: Psychology
ISBN: 1135670552

Additional Resource Materials Human behavior would not be interesting to us if it remained the same from one moment to the next. Moreover, we tend to be sensitive to changes in people's behavior, especially when such change impacts on our own, and other's, behavior. This book describes a variety of techniques for investigating change in behavior. It employs conventional time series methods, as well as recently developed methodology using nonlinear dynamics, including chaos, a term that is not easy to define, nor to confirm. Although nonlinear methods are being used more frequently in psychology, a comprehensive coverage of methods, theory and applications, with a particular focus on human behavior, is needed. Between these covers, the reader is led through various procedures for linear and nonlinear time series analysis, including some novel procedures that allow subtle temporal aspects of human cognition to be detected. Analyses of reaction times, heart-rate, psychomotor skill, decision making, and EEG are supplemented by a contemporary review of recent dynamical research in developmental psychology, psychopathology, and human cognitive processes. A consideration of nonlinear dynamics assists our understanding of deep issues such as: Why is our short-term memory capacity limited? Why do chronic disorders, and also cognitive development, progress through stage-like transitions? Why do people make irrational decisions? This book will be of particular interest to researchers, practitioners, and advanced students in a variety of areas in psychology, particularly in human experimental and physiological psychology. Data analyses are performed using the latest nonlinear dynamics computer packages. A comprehensive WWW resource of software and supplementary information is provided to assist the reader's understanding of the novel, and potentially revolutionary, procedures described in the book.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4
Author: Santo Banerjee
Publisher: Springer
Total Pages: 308
Release: 2015-05-04
Genre: Science
ISBN: 3319170376

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Nonlinear Systems

Nonlinear Systems
Author:
Publisher: BoD – Books on Demand
Total Pages: 288
Release: 2020-05-13
Genre: Mathematics
ISBN: 1789854717

The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.

Theory of Nonlinear Acoustics in Fluids

Theory of Nonlinear Acoustics in Fluids
Author: B.O. Enflo
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2006-04-11
Genre: Science
ISBN: 0306484196

The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is ”Theoretical Foundations of Nonlinear Aco- tics” by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers’ equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers’ equation, travelling wave solutions of Bu- ers’ equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.