Periodic Orbits and Invariant Tori from a Semistable Limit Cycle in the Fast Dynamics

Some global behavior for a slowly varying oscillator was investigated. Based on a series of transformations and the theory of periodic orbits and integral manifold, the bifurcations of subharmonic solutions and invariant tori generated from a semistable limit cycle in the fast dynamics were discussed.

作 者： YE Zhi-yong HAN Mao-an   作者單位： YE Zhi-yong(Dept. of Mathematics, Shanghai Jiaotong Univ. , Shanghai 200240, China;Dept. of Mathematics, Chongqing Inst. of Technology, Chongqing 400050)

HAN Mao-an(Dept. of Mathematics, Shanghai Jiaotong Univ. , Shanghai 200240, China) 

刊 名： 上海交通大學(xué)學(xué)報(bào)（英文版）  EI 英文刊名： JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY  年，卷(期)： 2006 11(1)  分類號(hào)： O175.12  關(guān)鍵詞： singular perturbation   subharmonic solution   invariant torus  

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