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 作者单位： 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： 上海交通大学学报（英文版） EI 英文刊名： JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY 年，卷(期)： 2006 11(1) 分类号： O175.12 关键词： singular perturbation subharmonic solution invariant torus