Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition)

David N Cheban (Autor)

Buch | Hardcover

616 Seiten

2015 | 2nd Revised edition
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4619-82-0 (ISBN)

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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. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.

Global Attractors of Autonomous and Non-Autonomous Dynamical Systems; The Structure of Levinson Center of Dynamical System; Holomorphic Dynamical Systems and Their Attractors; Method of Lyapunov Functions; Upper Semicontinuity of Attractors; The Relationship Between Pullback, Forward and Global Attractors; Pullback Attractors Under Discretization; Global Attractors of Some Classes of Evolution Equations (Lorenz Systems, Navier-Stokes Equations, V-Monotone Systems, Difference Equations etc.); Linear Almost Periodic Systems; Global Attractors and Asymptotic Stability of Control Systems;

Erscheint lt. Verlag	24.2.2015
Reihe/Serie	Interdisciplinary Mathematical Sciences ; 18
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	981-4619-82-5 / 9814619825
ISBN-13	978-981-4619-82-0 / 9789814619820
Zustand	Neuware