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Very long transients in globally coupled maps

S. C. Manrubia, A. S. Mikhailov

cond-matarXiv:cond-mat/9912054

Abstract

Very long transients are found in the partially ordered phase of type II of globally coupled logistic maps. The transients always lead the system in this phase to a state with a few synchronous clusters. This transient behaviour is not significantly influenced by the introduction of weak noises. However, such noises generally favor cluster partitions with more stable periodic dynamics.

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