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