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Attracting theorems for cyclic sets and impermanence
1Department of Theoretical Biology, Academy of Sciences of the Czech Republic, Faculty of Biological Science USB, Ceske Budejovice, Czech Republic. sikder@entu.cas.cz
Mathematical Biosciences
|September 4, 1998
Abstract:
We derive attraction theorems for a cycle connecting nonempty compact (isolated) invariant sets using an average Lyapunov function. An application is given to a concrete system having such a cycle with the object to obtain the impermanence of the system.