Chimera states in networks of logistic maps with hierarchical connectivities

Abstract

Chimera states are complex spatiotemporal patterns consisting of coexisting domains of coherence and incoherence. We study networks of nonlocally coupled logistic maps and analyze systematically how the dilution of the network links influences the appearance of chimera patterns. The network connectivities are constructed using an iterative Cantor algorithm to generate fractal (hierarchical) connectivities. Increasing the hierarchical level of iteration, we compare the resulting spatiotemporal patterns. We demonstrate that a high clustering coefficient and symmetry of the base pattern promotes chimera states, and asymmetric connectivities result in complex nested chimera patterns.

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Cited by in corpus (5)

• FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
• Weak multiplexing in neural networks: Switching between chimera and solitary states
• Delay-induced chimeras in neural networks with fractal topology
• Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks
• Coupling-induced periodic windows in networked discrete-time systems