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

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Author(s):
Mendonca, Hans Muller ; Tonjes, Ralf ; Pereira, Tiago
Total Authors: 3
Document type: Journal article
Source: Entropy; v. 25, n. 7, p. 11-pg., 2023-07-01.
Abstract

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)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC