Periodic Orbits near Equilibria

被引：1

作者：

Barreira, Luis ^{[1
]}

Llibre, Jaume ^{[2
]}

Valls, Claudia ^{[1
]}

机构：

[1] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2010年 / 63卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lyapunov, Weinstein, and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. Using averaging theory, we establish a similar result for a differential system without assuming the existence of a first integral. Our result can also be interpreted as a kind of special Hopf bifurcation. (C) 2010 Wiley Periodicals, Inc.

引用

页码：1225 / 1236

页数：12