| 一类推广的软弹簧型Duffing方程的浑沌与次谐分枝 |
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| 引用本文： | 杨广武,徐瑞.一类推广的软弹簧型Duffing方程的浑沌与次谐分枝[J].河北科技大学学报,1996(1). |
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| 作者姓名： | 杨广武 徐瑞 |
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| 作者单位： | 河北轻化工学院基础课部，中国人民解放军军械工程学院 |
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| 摘 要： | 应用Ｍｅｌｎｉｋｏｖ方法研究一类推广的软弹簧型Ｄｕｆｆｉｎｇ方程在弱周期参数激励下的动力学行为，给出系统出现浑沌、次谐分枝及超次谐分枝的某些充分条件，讨论了由有限次超次谐分枝导至浑沌的可能性。
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| 关 键 词： | 异宿轨道，Melnikov方法，浑沌，次谐分枝 |
Chaos and Subharmonic Bifurcation on a CLass of Extending Soft Spring Duffing Equation |
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| Yang Guangwu, Xu Rui.Chaos and Subharmonic Bifurcation on a CLass of Extending Soft Spring Duffing Equation[J].Journal of Hebei University of Science and Technology,1996(1). |
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| Authors: | Yang Guangwu Xu Rui |
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| Institution: | Department of Fundamental Courses |
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| Abstract: | Melnikov method is osed in this paper to discuss the dynamical behaviour under the excitation of weak periodic parameter on a class of soft spring Duffing equation. The sufficient conditions of the existence of chaos, subharmonic bifurcation and hyper-subharmonic bifurcation are given, and the possiblity of hyper-subharmonic bifurcation from limited orders to chaos is discussed. |
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| Keywords: | heterocilinic orbits Melnikov method chaos subharmonic bifurcation |
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