Bifurcations from a degenerate homoclinic orbit

发布时间：2022-06-06 作者：浏览次数：

Speaker:	朱长荣	DateTime:	2022年6月7日（周二）上午10:00-11:00
Brief Introduction to Speaker: 朱长荣，重庆大学教授。		Place:	腾讯会议：274 964 713
Abstract:Consider an autonomous ordinary differential equation in R^n that has a homoclinic solution asymptotic to a hyperbolic equilibrium. The homoclinic solution is degenerate in the sense that the linear variational equation has d bounded, linearly independent solutions. We study bifurcation of the homoclinic solution under periodic perturbations. Using exponential dichotomies and Lyapunov-Schmidt reduction, we obtain general conditions