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Stabilities in Dynamical Systems
Author(s): Changming Ding and Yuming Chu
Publisher: Science Press
Published Date: 2008
ISBN: 9787030225962
Pages: 144
Language: English
Type: Book
Cover: Hard Cover
Our Price
: $33.00
Avail
: In-Stock
Description
Stability is a classical topic in the study of dynamical systems. This book focuses on three special topics, i.e., chain stability, Zhukovskil stability and intertwined basins.
Main Contents
Preface
Chapter I Basic Definitions and Properties
1.1 Some Elementary Concepts
1.2 Recurrent Orbits 1.3 Auslander Recurrence
1.4 Chain Recurrence
1.5 Attractors
Chapter II Chain Stability
2.1 Absolute Stability
2.2 Chain Prolongation and Stability
2.3 Attracting Sets and Quasi-attracting Sets
2.4 Lyapunov Functions
2.5 Chain Stability of Closed Sets
Chapter III Zhukovskij Stability
3.1 Zhukovskij Stability
3.2 Omega Limit Set
3.3 Asymptotical Stability
3.4 Global Structure
Chapter IV Intertwined Basins of Attraction
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