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

doi:10.1088/1009-1963/11/5/306

中国物理B ›› 2002, Vol. 11 ›› Issue (5): 441-444.doi: 10.1088/1009-1963/11/5/306

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

陈向炜

Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China

收稿日期:2001-11-30 修回日期:2001-12-21 出版日期:2005-06-13 发布日期:2005-06-13
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), the Natural Science Foundation of Henan Province, China, and the Programme of Young Key Members of the Teachers in Institutions of Higher Learning of Henan Province

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

Chen Xiang-Wei (陈向炜)

Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China

Received:2001-11-30 Revised:2001-12-21 Online:2005-06-13 Published:2005-06-13
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), the Natural Science Foundation of Henan Province, China, and the Programme of Young Key Members of the Teachers in Institutions of Higher Learning of Henan Province

摘要/Abstract

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

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

Key words: Melnikov's method, heteroclinic circle, Birkhoff system, chaos

中图分类号: (High-dimensional chaos)

05.45.Jn

02.30.Jr (Partial differential equations)

陈向炜. Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle[J]. 中国物理B, 2002, 11(5): 441-444.

Chen Xiang-Wei (陈向炜). Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle[J]. Chinese Physics, 2002, 11(5): 441-444.

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

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

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