| 一类慢变参数振子系统的同宿分叉及其安全盆侵蚀 |
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| 引用本文： | 甘春标,陆启韶.一类慢变参数振子系统的同宿分叉及其安全盆侵蚀[J].应用力学学报,1999,16(2):12-16. |
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| 作者姓名： | 甘春标 陆启韶 |
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| 作者单位： | 北京航空航天大学 |
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| 基金项目： | 国家自然科学基金,航空科学基金 |
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| 摘 要： | 分析一个具有慢变参数的非线性系统，利用Ｍｅｌｎｋｏｖ方法，分析了系统在参数发生变化时的同宿分叉，同时利用分叉结果，数值讨论了当系统参数发生变化时安全盆的侵蚀及分叉，混沌的联系。
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| 关 键 词： | 非线性 慢变参数 同宿分叉 安全盆 振子系统 |
Homoclinic Bifurcations and Erosion of Safe Basins in A Non Linear System with Slowly Varying Parameters |
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| Gan Chunbiao,Lu Qishao,Huang Kelei.Homoclinic Bifurcations and Erosion of Safe Basins in A Non Linear System with Slowly Varying Parameters[J].Chinese Journal of Applied Mechanics,1999,16(2):12-16. |
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| Authors: | Gan Chunbiao Lu Qishao Huang Kelei |
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| Institution: | College of Science Beijing University of Aeronautics and Astronautics 100083 |
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| Abstract: | This paper deals with a non linear system with slowly varying parameters. It studies the system's homoclinic bifurcations by the Melnikov method and discusses the erosion of safe basins numerically by the results of bifurcations when the control parameters of the system vary. |
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| Keywords: | non linear system slowly varying parameter homoclinic bifurcation Melnikov method safe basin |
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