| 三次非线性动力系统的混沌分析 |
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| 引用本文： | 苟鹏东,王知人,刘永杰,王德华.三次非线性动力系统的混沌分析[J].山东理工大学学报,2009,23(5):66-68. |
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| 作者姓名： | 苟鹏东 王知人 刘永杰 王德华 |
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| 作者单位： | 燕山大学理学院;内蒙古工业大学理学院; |
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| 基金项目： | 河北省自然科学基金资助项目(A2005000301) |
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| 摘 要： | 通过对一类三次非线性动力系统在无扰动下的稳定性分析,得出其异宿轨道,利用Melnikov函数求出此非线性动力系统发生混沌运动的条件,并利用数值仿真验证了系统发生混沌运动条件的正确性.
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| 关 键 词： | 异宿轨道 非线性 混沌 数值仿真 Melnikov函数 |
Analysis on the chaos of three order nonlinear dynamic systems |
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| GOU Peng-dong,WANG Zhi-ren,LIU Yong-jie,WANG De-hua.Analysis on the chaos of three order nonlinear dynamic systems[J].Journal of Shandong University of Technology:Science and Technology,2009,23(5):66-68. |
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| Authors: | GOU Peng-dong WANG Zhi-ren LIU Yong-jie WANG De-hua |
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| Institution: | 1.School of Science;Yanshan University;Qinhuangdao 066004;China2.School of Science;Inner Mongolia University of Technology;Huhhot 010051;China |
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| Abstract: | The heteroclinic orbit of a three order nonlinear dynamic systems was obtained through analyzing its stability with no perturbation.The chaotic motion conditions of the nonlinear dynamic systems was also obtained by using Melnikov function.Meanwhile,these chaotic motion conditions of the system was proved by numerical simulation. |
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| Keywords: | heteroclinic orbit nonlinear chaos numerical simulation Melnikov function |
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