基于多尺度方法的1∶3共振双Hopf分岔分析Analysis of 1∶3 Resonant Double Hopf Bifurcation by Using the Method of Multiple Scales
王万永,陈丽娟,郭静
摘要(Abstract)：
利用改进的多尺度方法对一个电路振子模型1∶3共振附近的动力学行为进行了研究.应用该方法得到了系统的复振幅方程,进而得到一个振幅与相位解耦的三维实振幅系统,通过分析实振幅方程的平衡点个数及其稳定性,将系统共振点附近的动力学行为进行分类,发现了双稳态等动力学现象,数值模拟验证了理论结果的正确性.
关键词(KeyWords)： 电路振子;1∶3共振;多尺度方法;分岔
基金项目(Foundation): 国家自然科学基金资助项目(11302072);; 河南省科技厅资助项目(112300410194);; 河南教育厅资助项目(12B120004);; 郑州市科技局资助项目(20141391)
作者(Author): 王万永,陈丽娟,郭静
DOI: 10.13705/j.issn.1671-6841.2016053
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