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

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

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.

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  • Rybalova, E.V. & Strelkova, G.I. & Anishchenko, V.S., 2021. "Impact of sparse inter-layer coupling on the dynamics of a heterogeneous multilayer network of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308699
    DOI: 10.1016/j.chaos.2020.110477
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    Cited by:

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    2. Frolov, Nikita & Rakshit, Sarbendu & Maksimenko, Vladimir & Kirsanov, Daniil & Ghosh, Dibakar & Hramov, Alexander, 2021. "Coexistence of interdependence and competition in adaptive multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Belyaev, Alexander & Bashkirtseva, Irina & Ryashko, Lev, 2021. "Stochastic variability of regular and chaotic dynamics in 2D metapopulation model," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Shepelev, I.A. & Bukh, A.V. & Strelkova, G.I., 2022. "Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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