Rotating wave dynamics and multistability in a unidirectional ring of Hindmarsh–Rose neurons

Alexander N. Pisarchik

Chaos, Solitons & Fractals, 2026, vol. 210, issue P1

Abstract: Wave dynamics and synchronization are investigated in a unidirectional ring of Hindmarsh–Rose neural oscillators with excitatory chemical synaptic coupling. Stationary regimes are analyzed to determine how the wave speed and the number of waves in the ring depend on the control parameters, specifically the coupling strength and external current, and on the initial conditions. Time series, bifurcation, and spatiotemporal analyses of the membrane potential, inter-burst intervals, and energy demonstrate very rich dynamics, including the coexistence of various regimes in the ring network, such as regular waves with different mode-locking ratios, interval running waves with variable speed, standing waves, and chimeric waves. The results provide insights into possible mechanisms underlying structured activity in neural circuits and offer a versatile testbed for studying wave-mediated information processing.

Keywords: Hindmarsh–Rose neuron; Rotating waves; Multistability; Neural networks; Synchronization; Chimera states (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926007460
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:210:y:2026:i:p1:s0960077926007460

DOI: 10.1016/j.chaos.2026.118605

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. ().