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
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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