Floquet bundles for tridiagonal competitive-cooperative systems

CDSNS Colloquium
Monday, October 8, 2012 - 11:05
1 hour (actually 50 minutes)
Skiles 006
University of Sciences 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.