| 非线性Mathieu方程的混沌及其控制 |
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| 引用本文： | 吴锋民,杨惠山.非线性Mathieu方程的混沌及其控制[J].振动与冲击,1998,17(3):71-74. |
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| 作者姓名： | 吴锋民 杨惠山 |
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| 作者单位： | 浙江工业大学 杭州310014(吴锋民)，泉州师范专科学校 泉州362000(杨惠山) |
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| 基金项目： | 国家自然科学基金资助项目(批准号:49672095) |
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| 摘 要： | 用数值方法揭示了非线性Mathieu方程的一种特殊形式——在纵向简谐激励、非线性阻尼和联接质量惯性力作用下的欧拉弯曲问题的分岔现象和混沌行为。利用耦合反馈控制方法,实现了对这种混沌行为的控制,得到受控后系统的稳定周期(包括低周期、高周期和准周期)振动的结果。
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| 关 键 词： | 非线性Mathieu方程 耦合反馈 欧拉动弯曲问题 混沌控制 |
CHAOS AND ITS CONTROLLING IN NONLINEAR MATHIEU'S EQUATION |
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| Wu Fengmin.CHAOS AND ITS CONTROLLING IN NONLINEAR MATHIEU''S EQUATION[J].Journal of Vibration and Shock,1998,17(3):71-74. |
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| Authors: | Wu Fengmin |
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| Abstract: | By means of computer simulations, the bifurcations and chaotic behaviours in aspecial form of Mathieu's equation-Euler's Dynamically Buckling problem, in which the linked masses with nonlinear resistance are driven by longitudinal harmonic force, are studied. The chaotic behaviours are controlled by coupled feedback. The stable periodic orbits (including low periodic, high periodic and quasi-periodic) when controlled are obtained. |
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| Keywords: | nonlinear Mathieu's equation coupled feedback Euler's Dynamically Buckling problem controlling chaos |
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