動力系統中的穩定性

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《Stabilities in Dynamical Systems:動力系統中的穩定性》主要內容：We begin with basic notions that are necessary to describe the dynamical behaviors，and also reach to the most recellt achievements，for example，the chain stability is first proposed in 2008．In this book．we are mainly interested in the geo： metric or topological aspects of the orbits or solutions more than an explicit formula for an orbit．Also，this book is meant to be a graduate textbook and not j ust only a monograph on the subject．

This book contains four chapters．All the definitions．the-orems and formulae are independently numbered by chapter，for example．Theorem 2．8 in Chapter II means the eighth the- orem in Section 2 of the same chapter．

Preface
Chapter Ⅰ Basic Definitions and Properties
I．1 Some Elementary Concepts
I．2 Recurrent Orbits
I．3 Auslander Recurrence
1．4 Chain Recurrence
I．5 Attractors
Chapter Ⅱ Chain Stability
II．1 Absolute Stability
II．2 Chain Prolongation and Stability
II．3 Attracting Sets and Quasi-attracting Sets
II．4 Lyapunov Functions
II．5 Chain Stability of Closed Sets
Chapter Ⅲ Zhukovskij Stability
III．1 Zhukovskij Stability
III：2 Omega Limit Set
III．3 Asymptotical Stability
III．4 Global Structure
III．5 Near Periodicity
Chapter Ⅳ Intertwined Basins of Attraction
IV．1 Two-dimensional Systems
IV．2 Intertwining Property
IV．3 Super-intertwining
IV．4 Application

動力系統中的穩定性

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