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.
Received: 30 November 2001
Revised: 21 December 2001
Accepted manuscript online:
Fund: 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
Cite this article:
Chen Xiang-Wei (陈向炜) Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle 2002 Chinese Physics 11 441
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