 00387 Bastien Fernandez, Miaohua Jiang
 Dynamics of Two Diffusively Coupled Unimodal Maps with
Zero Topological Entropy
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Oct 2, 00

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Abstract. The paper studies the dynamics of a coupled map lattice of two sites
where the local map is a unimodal map for which the period of every
periodic orbit is a power of two. With the help of the existence of
nested subsets of the phase space and their forward invariance after
some iterations, it is shown that every orbit passing such subsets is
eventually periodic and the period is a power of two. A criterion for
an orbit to visit a particular subset is given and a sufficient condition for
the existence of periodic orbits satisfying this criterion is obtained.
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