| 柱面上动力系统的浑沌与次谐波 |
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| 引用本文： | 徐瑞. 柱面上动力系统的浑沌与次谐波[J]. 军械工程学院学报, 1995, 0(3) |
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| 作者姓名： | 徐瑞 |
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| 作者单位： | 军械工程学院数学教研室 石家庄 |
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| 摘 要： | 研究柱面上一类微分方程在不同扰动下的动力学行为。应用Melnikov方法确定出系统产生浑沌及次谐波分枝、超次谐波分枝的某些充分条件,并讨论了从分枝进入浑沌的途径。
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| 关 键 词： | 同宿轨道 浑沌 分枝 |
CHAOTIC BEHAVIOUR AND SUBHARMONIC BIFURCATION ON CYLINDER DYNAMICAL SYSTEM |
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| Xu Rui. CHAOTIC BEHAVIOUR AND SUBHARMONIC BIFURCATION ON CYLINDER DYNAMICAL SYSTEM[J]. Journal of Ordnance Engineering College, 1995, 0(3) |
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| Authors: | Xu Rui |
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| Affiliation: | Teacing and Research Section of Maths |
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| Abstract: | In this paper, we study the dynamical behaviour exhibited by the cylinder differential equation subject to different perturbations. The sufficient conditions of the existence of chaotic behaviour and subharmonic bifurcaion hypersubharmonic bifurcation are obtained. The routes relevant to horseshoes type chaos are also discussed. |
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| Keywords: | bomoclinic orbit chaos bifurcation |
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