Display Abstract

Title Persistence of Lower Dimensional Hyperbolic Tori in Reversible System

Name Yuedong Kong
Country Peoples Rep of China
Email kongyuedong@gmail.com
Co-Author(s) Junxiang Xu
Submit Time 2014-02-23 21:36:15
Session
Special Session 46: Qualitative theory of differential equations and applications
Contents
In this paper we consider the persistence of hyperbolic lower dimensional invariant tori with prescribed frequency in reversible system, and prove that if the frequency mapping has nonzero topological degree at some diophantine frequency, then the hyperbolic lower invariant dimensional torus with this frequency persists under small perturbations.