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Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

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  • Rybalova, E.
  • Averyanov, V.
  • Lozi, R.
  • Strelkova, G.

Abstract

We explore numerically the dynamics of a single Hénon–Lozi map and networks of nonlocally coupled Hénon–Lozi maps. It is shown that due to a complicated behavior of the individual map which combines the dynamical peculiarities of the Lozi map and the Hénon map, both solitary states and chimera structures can be observed in networks of coupled Hénon–Lozi maps. These spatio-temporal structures exhibit different degrees of robustness against external noise sources. It is established that additive Lévy noise suppresses solitary states while induces chimera states, and the chimera resonance is realized.

Suggested Citation

  • Rybalova, E. & Averyanov, V. & Lozi, R. & Strelkova, G., 2024. "Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924006039
    DOI: 10.1016/j.chaos.2024.115051
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