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Exponentially Long Transient Time to Synchronization of Coupled Chaotic Circle Maps in Dense Random Networks

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Autor(es):
Mendonca, Hans Muller ; Tonjes, Ralf ; Pereira, Tiago
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Entropy; v. 25, n. 7, p. 11-pg., 2023-07-01.
Resumo

We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size and link probability of smaller than one, the incoherent state is meta-stable for coupling strengths that are larger than the mean-field critical coupling. We observe chaotic transients with exponentially distributed escape times and study the scaling behavior of the mean time to synchronization. (AU)

Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
Beneficiário:Francisco Louzada Neto
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs