Physics-Mechanics: Nonlinear dynamics and chaos

Introduction to infinite-dimensional dynamical and dissipative systems

US$5.00 US$45.00

Title (user) : Introduction to infinite-dimensional dynamical and dissipative systemsTitle (google) : Introduction to the Theory of Infinite-dimensional Dissipative SystemsISBN : 9667021645,9789667021641GoogleBook ID : EEMcaMFyDrECAuthors (user) : Chueshov.Authors (google)...
Description

Title (user) : Introduction to infinite-dimensional dynamical and dissipative systems

Title (google) : Introduction to the Theory of Infinite-dimensional Dissipative Systems

ISBN : 9667021645,9789667021641

GoogleBook ID : EEMcaMFyDrEC

Authors (user) : Chueshov.

Authors (google) : S.-N. Chow

Language : English

Publication Date : 2002

File Format : pdf

Categories : Differentiable dynamical systems


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Description (user) :
This book provides an exhaustive introduction to the scope of main ideas and methods of the theory of infinite-dimensional dissipative dynamical systems which has been rapidly developing in recent years. In the examples systems generated by nonlinear partial differential equations arising in the different problems of modern mechanics of continua are considered.The main goal of the book is to help the reader to master the basic strategies used in the study of infinite-dimensional dissipative systems and to qualify him/her for an independent scientific research in the given branch. Experts in nonlinear dynamics will find many fundamental facts in the convenient and practical form in this book. The core of the book is composed of the courses given by the author at the Department of Mechanics and Mathematics at Kharkov University during a number of years. This book contains a large number of exercises which make the main text more complete. It is sufficient to know the fundamentals of functional analysis and ordinary differential equations to read the book.


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Description (google) :
The C.I.M.E. session on Dynamical Systems, held in Cetraro (Italy), June 19-26, 2000, focused on the latest developments in several important areas in dynamical systems, with full development and historical context. The lectures of Chow and Mallet-Paret focus on the area of lattice differential systems, the lectures of Conto and Galleotti treat the classical problem of classification of orbits for two-dimensional autonomous systems with polynomial right sides, the lectures of Nussbaum focus on applications of fixed point theorems to the problem of limiting profiles for the solutions of singular perturbations of delay differential equations, and the lectures of Johnson and Mantellini deal with the existence of periodic and quasi-periodic orbits to non-autonomous systems. The volume will be of interest to researchers and graduate students working in these areas.

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