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

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.

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• Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
• Delay-induced chimeras in neural networks with fractal topology
• On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
• Transition from chimera/solitary states to traveling waves
• Synchronization scenarios in three-layer networks with a hub
• Machine Learning assisted Chimera and Solitary states in Networks
• Asymmetric cluster and chimera dynamics in globally coupled systems
• Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems