Display Abstract

Title On the persistence of degenerate lower-dimensional tori in reversible systems

Name Dongfeng Zhang
Country Peoples Rep of China
Email zhdf@seu.edu.cn
Co-Author(s) Wang Xiaocai, Xu Junxiang
Submit Time 2014-02-28 01:47:03
Session
Special Session 25: Dynamics of chaotic and complex systems and applications
Contents
This work focuses on the persistence of lower-dimensional tori with prescribed frequencies and singular normal matrices in reversible systems. By KAM method and the special structure of unperturbed nonlinear terms in the differential equation, we prove that the invariant tori with given frequencies can persist under small perturbation.