Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps

Abstract

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that nonlocal coupling and features of the partial elements lead to arising of multistability in the system. The existence of solitary state is caused by formation of two attractive sets with different basins of attraction. Their basins are analysed depending on coupling parameters.

arXiv comment7 figures and 11 pages

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Cited by in corpus (11)

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• Solitary states in multiplex neural networks: onset and vulnerability
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• On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
• Delay engineered solitary states in complex networks
• Synchronization scenarios in three-layer networks with a hub
• Transition from chimera/solitary states to traveling waves
• Solitary states in complex networks: impact of topology
• Using Phase Dynamics to Study Partial Synchrony: Three Examples
• Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling