Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks

Author:

Hans Muller Mendonca, Ralf Tönjes, Tiago Pereira

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Chaotic Dynamics (nlin.CD)

journal:

Entropy 2023, 25(7), 983

date:

2023-07-03 16:00:00

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.

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