93-187 Michael Blank

Periodicity and periodicity on average in coupled map lattices. Rigorous results. (545K, TeX) Jun 18, 93

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Abstract. We prove the existence and genericity in a sense of periodic on average behavior for systems of coupled map lattices, when the behavior of the system is chaotic, and the existence of periodic behavior for such systems, when the uncoupled one is chaotic. The stability of both of these phenomena with respect to small random perturbations is also proved.

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