Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: Melnikov's method heteroclinic circle Birkhoff system chaos
• 年，卷（期）: 2002,（5）
• 页码范围: 441-444
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

Chaotic behaviour in a second-order autonomous Birkhoff system with a heteroclinic circle under weakly periodicperturbation is studied using the Melnikov method. The equations of heteroclinic orbits and the criteria for chaos aregiven. One example is also presented to illustrate the application of the results.