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

Hans Muller Mendonca; Ralf Tönjes; Tiago Pereira

doi:10.3390/e25070983

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arXiv · 2307.01606

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

Hans Muller Mendonca·Ralf Tönjes·Tiago Pereira

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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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Hans Muller Mendonca, Ralf Tönjes, Tiago Pereira. 2023-07-04. Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks. https://doi.org/10.3390/e25070983

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