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Floquet bundles for tridiagonal competitive-cooperative systems and applications

Friday, November 16, 2012 - 10:30am - 12:00pm
Lind 305
Yi Wang (University of Science and Technology of China)
For a general time-dependent linear competitive-cooperative tridiagonal system of differential equations, we obtain canonical Floquet invariant bundles which are exponentially separated in the framework of skew-product flows. The obtained Floquet theory is applied to study the dynamics on the hyperbolic omega-limit sets for the nonlinear competitive-cooperative tridiagonal systems in time-recurrent structures including almost periodicity and almost automorphy.