动力系统中的稳定性

书籍目录

PrefaceChapter Ⅰ  Basic Definitions and Properties  Ⅰ.1  Some Elementary Concepts  Ⅰ.2  Recurrent Orbits  Ⅰ.3  Auslander Recurrence  Ⅰ.4  Chain Recurrence  Ⅰ.5  AttractorsChapter 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 SetsChapter Ⅲ  Zhukovskij Stability  Ⅲ.1  Zhukovskij Stability  Ⅲ.2  Omega Limit Set  Ⅲ.3  Asymptotical Stability  Ⅲ.4  Global Structure  Ⅲ.5  Near PeriodicityChapter Ⅳ  Intertwined Basins of Attraction  Ⅳ.1  Two-dimensional Systems  Ⅳ.2  Intertwining Property  Ⅳ.3  Super-intertwining  Ⅳ.4  ApplicationReferences

作者简介

《Stabilities in Dynamical Systems:动力系统中的稳定性》主要内容：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．

图书封面

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