| 含平方项软弹簧Duffing方程的浑沌阈 |
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| 引用本文： | 陈立群,王铁光.含平方项软弹簧Duffing方程的浑沌阈[J].东北大学学报(自然科学版),1990(5). |
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| 作者姓名： | 陈立群 王铁光 |
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| 作者单位： | 鞍山钢铁学院，东北工学院 东北工学院硕士研究生 |
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| 摘 要： | 把弱周期干扰力作用下的含平方项软弹簧Duffing方程作为受小摄动的Hamilton可积系统,给出了对应于由异宿轨道构成的异宿环的Melnikov函数,由此得到系统的浑沌阈。与以往的数值结果进行比较,误差较小,并列举产生误差的原因。
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| 关 键 词： | Duffing方程 浑沌阈 异宿轨道 Melnikov方法 |
Chaos Threshold Given from Soft-Spring Duffing Equation Containing a Quadratic Term |
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| Chen Liqun,Wang Tieguang.Chaos Threshold Given from Soft-Spring Duffing Equation Containing a Quadratic Term[J].Journal of Northeastern University(Natural Science),1990(5). |
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| Authors: | Chen Liqun Wang Tieguang |
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| Abstract: | Treating the soft-spring Duffing equation containing a quadratic term under a weak periodic disturbance as a Hamiltonian integrable system under a small perturbation, a Melnikov function is given corresponding to the homoclinic cycle formed by heteroclinic orbits, thus obtaining a chaos threshold of the system. The results calculated numerically show smaller error than previously calculated,and the causes for the error are discussed. |
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| Keywords: | Duffing equation chaos threshold heteroclinic orbit Melnikov method |
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