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| In this talk, we consider a general time-dependent linear competitive 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 competitive tridiagonal systems in time-recurrent structures including almost periodicity and almost automorphy. This is a joint work with Chun Fang and Mats Gyllenberg. |
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