Impact of sparse inter-layer coupling on the dynamics of a heterogeneous multilayer network of chaotic maps

E.V. Rybalova, G.I. Strelkova and V.S. Anishchenko

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: We numerically study the spatiotemporal dynamics of a heterogeneous two-layer network of chaotic discrete-time systems. The multiplex network is described by uni- or bidirectionally coupled rings of Henon and Lozi maps with a nonlocal interaction. We examine in detail effects of weakly and strongly sparse inter-layer coupling upon effective synchronization and compare with the network dynamics in the case of non-sparse coupling between the rings. We show for the first time that effective synchronization is confidently observed in a finite range on the inter-layer coupling strength even when up to 50% links between the rings are missing. The impact of a different degree of sparseness of the inter-layer coupling is quantified by using the global synchronization measure. We also analyze the contribution of the intra- and inter-layer couplings in the synchronous structure formation.

Keywords: Multilayer network; Sparse inter-layer coupling; Synchronization; Chimeras; Solitary states; Chaotic maps (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308699

DOI: 10.1016/j.chaos.2020.110477

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