We consider lattices of diffusively coupled logistic maps. We show that normally attracting heteroclinic cycles persist in large regions of the parameter space. A detailed study of the behavior of those with a short period is provided. Furthermore, various bifurcations which involve a heteroclinic cycle are discussed.
Presence and stability regions of heteroclinic cycles in coupled map lattices / Vernia, Cecilia. - In: RANDOM & COMPUTATIONAL DYNAMICS. - ISSN 1061-835X. - STAMPA. - 2:(1994), pp. 305-334.
Presence and stability regions of heteroclinic cycles in coupled map lattices
VERNIA, Cecilia
1994-01-01
Abstract
We consider lattices of diffusively coupled logistic maps. We show that normally attracting heteroclinic cycles persist in large regions of the parameter space. A detailed study of the behavior of those with a short period is provided. Furthermore, various bifurcations which involve a heteroclinic cycle are discussed.
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