| Chaos in the second—order autonomous Birkhoff system with a heteroclinic circle |
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| 引用本文： | 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. |
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| 作者姓名： | 陈向炜 |
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| 作者单位： | Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China |
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| 基金项目： | 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, China. |
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| 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.
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| 关 键 词： | 经典力学 Birkhoff系统 混沌 |
| 收稿时间： | 2001-11-30 |
Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle |
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| Chen Xiang-Wei.Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle[J].Chinese Physics B,2002,11(5):441-444. |
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| Authors: | Chen Xiang-Wei |
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| Affiliation: | Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China |
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| 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. |
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| Keywords: | Melnikov's method heteroclinic circle Birkhoff system chaos |
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