Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
Disordered Systems and Neural Networks
2023-07-06 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2307.01606,
title = {Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks},
author = {Hans Muller Mendonca and Ralf Tönjes and Tiago Pereira},
journal= {arXiv preprint arXiv:2307.01606},
year = {2023}
}