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

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

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

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.

Keywords: Network; Nonlocal coupling; Chaotic map; Hénon–Lozi map; Chimera state; Solitary state; Noise; Lévy noise (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924006039
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924006039

DOI: 10.1016/j.chaos.2024.115051

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().