The influence of Lévy noise and delay on the spiral waves in one and two-dimensional lattices of coupled Chialvo neurons

Swetha P., J.S. Ram, D.S. Varghese, A.S. Nair, A.M. Suresh, C. Davis, Remya C.R., Abhirami A.S., A. Hareendran, Fathima N., S.S. Muni and A.V. Bukh

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: This research investigates the complex spatiotemporal behaviors of Chialvo neuron maps under the influence of Lévy noise on three different topologies: a one-dimensional ring affected by electromagnetic flux, a two-dimensional lattice affected by electromagnetic flux, and a two-dimensional delayed coupled lattice. On the ring structure, we show that adding non-uniform Lévy noise induces the formation of new collective dynamics, including standing and traveling waves. The frequency and type of these emergent patterns depend sensitively on the intrinsic excitability parameter and the noise intensity, revealing new pathways to control synchronization behavior with noise modulation. In the 2D lattice, we show that electromagnetic flux and noise together induce a diverse range of behaviors, from synchronized waves to desynchronized states. Most strikingly, spiral wave chimeras emerge under moderate noise, with coherent and incoherent regions coexisting, highlighting the fine balance between external forcing and stochastic perturbations. Finally, upon introducing a delay in the lattice structure, the system displays a rich variety of dynamical regimes, including labyrinth patterns, rotating spirals, and target waves. The stability of regimes and transitions between different modes is greatly affected by both delay and coupling strength.

Keywords: Chialvo map; Neurodynamics; Pattern formation; Spiral waves; Traveling waves; Levy noise; Delay (search for similar items in EconPapers)
Date: 2026
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792501536X
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:202:y:2026:i:p1:s096007792501536x

DOI: 10.1016/j.chaos.2025.117523

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. ().