Nonlinear Systems

R. Sahadevan, M. Lakshmanan

384 pages, parution le 22/05/2002

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Résumé

Solitons and Chaos are well-known keywords in a domain of research which is now commonly referred to as nonlinear science. The papers in this book cover a wide range of topics in nonlinear science but share common mathematical notions and investigation techniques. The contributions in this book also represent the current status of some o the important nonlinear theories in different areas of applied mathematics and mathematical physics. This book is likely to be of interest to a wide audience, including experts in the field of nonlinear phenomena, applied mathematicians, mathematical physicists and engineers, since it gives a comprehensive picture of the new area of nonlinear science with tremendous range of applications.

Contents

Preface

Nonlinear Systems General

Nonlinear dynamics : From theory to technology

Soliton Systerns and Integrability

Geometry of Dirac structures, integrability and Lax-Lenard principle
Hirota derivatives, vertex operators and Plucker coordinates
Bâcklund transformations, quantum inverse problem and Q-operator
Completely integrable soliton models in resonant and nonresonant optical fibres
Bâcklund transformation for restricted flows
Oblique and parallel propagation of electromagnetic soliton in ferromagnetic medium

Nonlinear Différential and Différence Equations : Solutions

Nonconservative products in quasilinear hyperbolic systems
A new reduction of the nonplanar Burgers equation and exact analysis of the reduced ordinary differential equation
Nonlocal Cauchy problem for nonlinear differential equations in Banach spaces
Oscillation of solutions of forced nonlinear neutral difference equations of higher order Existence of mild solutions of nonlinear functional integro - differential equations of neutral type
Oscillation of solutions of forced nonlinear second order difference equations

Discrete Nonlinear Systems : Integrabillity

An invariant norm for nonlinear Hamiltonian systems
A panorama of the special solutions of the Painlevé equations
Discrete nonlinear systems : Some recent developments
A Nevanlinna theory approach to the integrability of discrete systems

Classical and Quantum Chaos

Controlling chaos with threshold mechanisms
Diffusion in periodically driven damped and undamped pendulum
Scaling indices and dynamical states of 1-d discrete systems
Intermittency and multifractality in iterated function systems
Quantum theory of the chaotic ionization of highly excited helium atoms

Caractéristiques techniques

	PAPIER
Éditeur(s)	Narosa Publishing House
Auteur(s)	R. Sahadevan, M. Lakshmanan
Parution	22/05/2002
Nb. de pages	384
Format	15,5 x 23,5
Couverture	Relié
Poids	731g
Intérieur	Noir et Blanc
EAN13	9788173194566