Lyapunov graph continuation

被引：13

作者：

Bertolim, MA ^{[1
]}

Mello, MP

De Rezende, KA

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Sao Carlos, SP, Brazil

[2] Univ Estadual Campinas, Inst Matemat Estatist & Computacao Cientif, Campinas, SP, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷

关键词：

D O I：

10.1017/S014338570200086X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the Poincare-Hopf inequalities are shown to be necessary and sufficient conditions for an abstract Lyapunov graph L to be continued to an abstract Lyapunov graph of Morse type. The Lyapunov graphs considered may represent smooth flows on closed orientable n-manifolds, n greater than or equal to 2. The continuation which is presented by means of a constructive algorithm, is shown to be unique in dimensions two and three. In all other dimensions, the exact number of possible continuations of L are presented.

引用

页码：1 / 58

页数：58

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