The periodic solution bifurcated from homoclinic orbit for coupled ordinary differential equations
The periodic solution bifurcated from homoclinic orbit for coupled ordinary differential equations
复制标题
耦合常微分方程同宿轨道分岔的周期解
DOI：
10.1002/mma.4200
复制
发表时间：
2017
影响因子：
2.9
通讯作者：
Long Bin
中科院分区：
文献类型：
--
作者：
Zhu Changrong;Long Bin
We consider the problem of the periodic solutions bifurcated from a homoclinic orbit for a pair of coupled ordinary differential equations in . Assume that the autonomous system has a degenerate homoclinic solutionγin . A functional analytic approach is used to consider the existence of periodic solution for the autonomous system with periodic perturbations. By exponential dichotomies and the method of Lyapunov–Schmidt, the bifurcation function defined between two finite dimensional subspaces is obtained, where the zeros correspond to the existence of periodic solutions for the coupled ordinary differential equations near . Copyright © 2016 John Wiley & Sons, Ltd.
