| 单摆Duffing振子系统建模及其非线性特性数值仿真分析 |
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| 引用本文： | 刘魁,李欣,孙运其.单摆Duffing振子系统建模及其非线性特性数值仿真分析[J].云南民族大学学报(自然科学版),2014(4):266-269. |
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| 作者姓名： | 刘魁 李欣 孙运其 |
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| 作者单位： | 兰州交通大学机电工程学院 |
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| 基金项目： | 甘肃省国际科技合作计划项目(1104WCGA195);甘肃省自然科学基金(1208RJZA111) |
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| 摘 要： | 从单摆问题引出Duffing方程问题,推出了关于Duffing振子的单摆运动方程.利用Matlab进行数值仿真模拟,分析了其运动中的分岔、Lyapunov指数和混沌等非线性特征.
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| 关 键 词： | 单摆 混沌 分岔 非线性 |
Modeling of the pendulum Duffing oscillator system and its numerical simulation analysis of nonlinear characteristics |
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| LIU Kui;LI Xin;SUN Yun-qi.Modeling of the pendulum Duffing oscillator system and its numerical simulation analysis of nonlinear characteristics[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2014(4):266-269. |
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| Authors: | LIU Kui;LI Xin;SUN Yun-qi |
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| Institution: | LIU Kui;LI Xin;SUN Yun-qi;College of Mechanical and Electrical Engineering,Lanzhou Jiaotong University; |
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| Abstract: | The problem of Duffing equation is deduced from the pendulum problem,from which it can deduce the single pendulum motion equation of Duffing oscillator. The computer is used to help the numerical simulation of its movement with the nonlinear features such as bifurcation,chaos,Lyapunov exponent and so on. |
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| Keywords: | pendulum chaos bifurcation nonlinear |
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