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## I. D. Chueshov

# Introduction to the Theory of Infinite-Dimensional Dissipative Systems

### (translated from the Russian edition by Constantin I. Chueshov, edited by Maryna B. Khorolska)

Originally published 1999 on paper by ACTA Scientific Publishing House, Kharkov, Ukraine, ISBN 966-7021-64-5 (in Russian)

**Abstract:** This book provides an exhaustive introduction to the scope of main ideas and methods of infinite-dimensional dissipative dynamical systems. It outlines a variety of deeply interlaced tools applied in the study of nonlinear dynamical phenomena in distributed systems. The results presented have direct applications to many rapidly developing areas of physics, biology and mechanical engineering.

Bibliographic Information [PostScript, 125 KB]

## Contents

**(Note: All chapter files are in Portable Document Format (PDF) and require suitable software for viewing)**

**Contents and Preface** [91 KB]

**Chapter 1. Basic Concepts of the Theory of Infinite-Dimensional Dynamical Systems** [576 KB]

**Chapter 2. Long-Time Behaviour of Solutions to a Class of Semilinear Parabolic Equations** [631 KB]

**Chapter 3. Inertial Manifolds** [617 KB]

**Chapter 4. The Problem on Nonlinear Oscillations of a Plate in a Supersonic Gas Flow** [622 KB]

**Chapter 5. Theory of Functionals that Uniquely Determine Long-Time Dynamics** [704 KB]

**Chapter 6. Homoclinic Chaos in Infinite-Dimensional Systems** [467 KB]

**Index** [26 KB]

**Download the whole book in one file: [PDF (2,602 kilobytes)]**

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*Publication date: 16 Apr 2002 for the EMIS Electronic Edition.

© 1999, 2002 I. D. Chueshov

©
2002 ELibM for
the EMIS Electronic Edition