New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps

TL;DR

This paper investigates the dynamics of two coupled ensembles of nonlocally interacting chaotic maps, revealing new spatiotemporal structures, including a solitary state chimera, and demonstrating mutual synchronization of complex patterns.

Contribution

It introduces a new type of chimera state in coupled chaotic map ensembles and explores their mutual synchronization, expanding understanding of complex spatiotemporal dynamics.

Findings

Discovery of a solitary state chimera in coupled map networks

All spatiotemporal structures of individual ensembles are realizable in the coupled system

Mutual synchronization of complex patterns between ensembles

Abstract

We study numerically the dynamics of a network made of two coupled one-dimensional ensembles of discrete-time systems. The first ensemble is represented by a ring of nonlocally coupled Henon maps, and the second one - by a ring of nonlocally coupled Lozi maps. We find that the network of coupled ensembles can realize all the spatio-temporal structures which are observed both in the Henon map ensemble and in the Lozi map ensemble when uncoupled. Moreover, we reveal a new type of spatiotemporal structure, a solitary state chimera, in the considered network. We also establish and describe the effect of mutual synchronization of various complex spatiotemporal patterns in the system of two coupled ensembles of Henon and Lozi maps.