Global Attractors of Non-Autonomous Dissipative Dynamical Systems.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor.

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Bibliographic Details
Main Author: Cheban, David N.
Format: Electronic
Published: Singapore : World Scientific, 2004.
Series:Interdisciplinary mathematical sciences ; v. 1.
Online Access:Click for online access
Table of Contents:
  • Preface; Contents; Notations; Autonomous dynamical systems; Non-autonomous dissipative dynamical systems; Analytic dissipative systems; The structure of the Levinson center of system with the condition of the hyperbolicity; Method of Lyapunov functions; Dissipativity of some classes of equations; Upper semi-continuity of attractors; The relationship between pullback, forward and global attractors; Pullback attractors of C-analytic systems; Pullback attractors under discretization; Global attractors of non-autonomous Global attractors of non-autonomous.