Floquet bundles for competitive-cooperative tridiagonal system and applications
题目 Floquet bundles for competitive-cooperative tridiagonal system and applications
报告人: 王毅教授(中国科学与技术大学数学科学学院)
时间: 2013.11.15星期五 下午 15:30-16:30
地点: 维格堂 119.
摘要: In this talk, I will consider a general time-dependent linear competitive-cooperative tridiagonal system of differential equations in the framework of skew-product flows and obtain canonical Floquet invariant bundles which are exponentially separated. Such Floquet bundles naturally reduce to the standard Floquet space when the system is assumed to be time-periodic. We apply the Floquet theory so obtained to study the dynamics on the hyperbolic omega-limit sets for the nonlinear competitivecooperative tridiagonal systems in time-recurrent structures including almost periodicity and almost automorphy.