Lyapunov graph continuation

被引：12
|
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
收藏
页码：1 / 58
页数：58
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