Morse theory and Lyapunov stability on manifolds

被引：0

作者：

Moulay E. ^{[1
]}

机构：

[1] Xlim (UMR-CNRS 6172) - Département SIC, Université de Poitiers - Bât. SP2MI, 86962 Futuroscope Chasseneuil Cedex

来源：

Journal of Mathematical Sciences | 2011年 / 177卷 / 3期

关键词：

Lyapunov Function; Homotopy Type; Lyapunov Stability; Morse Theory; Morse Function;

D O I：

10.1007/s10958-011-0468-6

中图分类号：

学科分类号：

摘要：

The aim of this article is to recall the main theorems of Morse theory and to infer some corollaries for the problem of Lyapunov stability on manifolds. It makes a link between Morse theory and the general theory of the Lyapunov stability for dynamical systems. © 2011 Springer Science+Business Media, Inc.

引用

页码：419 / 425

页数：6

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