| 预测摄动平面非Hamilton系统混沌的解析方法 |
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| 引用本文： | 陈立群.预测摄动平面非Hamilton系统混沌的解析方法[J].上海大学学报(英文版),2002,6(2):111-114. |
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| 作者姓名： | 陈立群 |
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| 作者单位： | CollegeofSciences,ShanghaiUniversity,Shanghai200436,China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina ( 10 0 82 0 0 3) |
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| 摘 要： | An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed.Based on the analysis of the geometric structure of unperturbed systems.the condition of transversely homoclinic intersection was given.The generalized Melnikov function of the perturbed system was fund by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters.
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| 关 键 词： | 浑沌 非哈密顿系统 解析法 |
| 收稿时间： | 22 June 2001 |
An analytical method for predicting chaos in perturbed planar non-hamiltonian system |
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| Chen?Li-Qun.An analytical method for predicting chaos in perturbed planar non-hamiltonian system[J].Journal of Shanghai University(English Edition),2002,6(2):111-114. |
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| Authors: | Chen Li-Qun |
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| Institution: | College of Sciences, Shanghai University, Shanghai 200436, China |
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| Abstract: | An analytical method for predicting chaos in perturbed planar non Hamiltonian integrable systems with slowly varying parameters was developed. Based on the analysis of the geometric structure of unperturbed systems, the condition of transversely homoclinic intersection was given. The generalized Melnikov function of the perturbed system was found by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters. |
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| Keywords: | analytical method chaos non hamiltonian integrable system generalized Melnikov function |
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