摘要
这篇论文处理为一个非自治的不可思议地使不安的系统在快动力学从限制周期产生的次谐波解决方案和 invarianttori 的分叉。把地图，一系列发作转变和积分的理论基于 Poincare 歧管，为不变的岩山 i 的存在的条件被获得，并且次谐波答案的 saddle-nodebifurcations 被学习。
This paper deals with bifurcations of subharmonic solutions and invariant tori generated from limit cycles in the fast dynamics for a nonautonomous singularly perturbed system. Based on Poincare map, a series of blow-up transformations and the theory of integral manifold, the conditions for the existence of invariant tori are obtained, and the saddle-node bifurcations of subharmonic solutions are studied.
基金
Project supported by the National Natural Science Foundation of China (No. 10671214)
the Chongqing Natural Science Foundation of China (No. 2005cc14)
Shanghai Shuguang Genzong Project (No.04SGG05)
关键词
奇异摄动系统
下调和解
不变圆环面
分歧
Singular perturbation, Subharmonic solution, Saddle-Node, Invariant torus
