Periodic perturbation of planar systems with a semistable limit cycle

作     者：HAN Mao’anDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China 

作者机构：Department of Mathematics Shanghai Jiaotong University Shanghai China 

出 版 物：《Chinese Science Bulletin》 (中国科学通报)

年 卷 期：1997年第42卷第4期

页      面：265-270页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：limit cycle invariant torus subharmonic solution. 

摘      要：CONSIDER the following equation: （?）=f（x）+f1（x,λ）+f2（t,x,μ）, （1） where λ, μ are real scalar parameters; f, f1 and f2 are C3 functions in their variables, and f1（x, 0）=0, f2（t, x, 0）=0, f2（t+2π, x, μ）=f+2（t, x, μ）. Suppose that for λ=μ=0, eq. （1） has a semistable limit cycle L of multiple two. The problem is to discuss