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Infinite-dimensional dynamical systems

โœ Scribed by Roger Temam


Book ID
127429071
Publisher
Springer
Year
1997
Tongue
English
Weight
6 MB
Series
Applied Mathematical Sciences
Edition
1
Category
Library
ISBN
0387966382

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โœฆ Synopsis


This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics, along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau and damped wave. The last chapter of the book introduces inertial manifolds, a subject of rapid development.


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## Abstract This paper is devoted to the problem of chaotic behaviour of infiniteโ€dimensional dynamical systems. We give a survey of different approaches to study of chaotic behaviour of dynamical systems. We mainly discuss the ergodicโ€theoretical approach to chaos which bases on the existence of i