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Stabilities in Dynamical Systems |
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Author(s): Changming Ding and Yuming Chu |
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Publisher: Science Press Published Date: 2008 ISBN: 9787030225962 Pages: 144 Language: English Type: Book Cover: Hard Cover |
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Our Price: $33.00
Avail: In-Stock |
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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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