Effect of higher-order interactions on aging transitions of coupled neurons

Dhrubajyoti Biswas and Soumyajit Seth

Chaos, Solitons & Fractals, 2025, vol. 200, issue P1

Abstract: This study examines the impact of higher-order interactions on aging transitions (ATs) in coupled neuronal systems modelled by the Rulkov map. A globally coupled network is considered, comprising oscillatory and non-oscillatory neurons, with their proportion representing network age. An order parameter quantifying collective oscillations reveals both smooth and explosive ATs under purely pairwise interactions. The inclusion of higher-order couplings is found to smoothen or delay the onset of ATs, depending on the interaction type and strength. Extending the model to incorporate the Erdos-Renyi random network topologies for pairwise interactions shows a rich spectrum of dynamics, including continuous, single-explosive, and double-explosive transitions. Additionally, additive Gaussian noise is introduced to study stochastic effects, which are observed to smoothen transitions and reduce bi-stability. For sufficiently high noise levels, persistent oscillatory activity emerges even in the fully aged regime. These findings underscore the significant role of higher-order interactions and their interplay with network structure and noise in shaping ATs in neuronal systems.

Keywords: Dynamical systems; Complex networks; Rulkov neurons; Aging transitions; Higher-order interactions (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009907

DOI: 10.1016/j.chaos.2025.116977

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