Remote synchronization in memristor-coupled Hindmarsh-Rose neuronal network

Chunlai Li, Saidi Wang, Hongmin Li, Zhijun Li, Lizhi Liu and Kun Qian

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

Abstract: Remote synchronization (RS) is a fundamental yet crucial phenomenon in brain functional networks, whereby indirectly coupled nodes exhibit synchronous firing, while directly connected nodes remain asynchronous. Although previous research has established RS within brain nervous systems mainly using fixed-connection star networks with oscillator-based nodes, the underlying mechanisms in more biologically realistic and complex network architectures remain largely unexplored. To address this gap, we develop a bridge-connected Hindmarsh-Rose neuronal network that incorporates memristor-based synapses, allowing for a systematic investigation of RS under biologically plausible conditions. Our results reveal that the coupling strengths between leaf-hub and bridge-hub node pairs critically regulate RS emergence and patterning. Moreover, firing pattern disparities between hub nodes and their connected leaf/bridge nodes significantly influence RS dynamics. We further show that increasing the number of leaf or hub nodes can substantially expand the parameter space for cross-regional RS. These findings provide novel mechanistic insights into RS within complex neuronal networks, while simultaneously highlighting the critical significance of connection topology and dynamics heterogeneity in governing neural synchronization patterns.

Keywords: Neuronal network; Memristor; Synchronous firing; Bridge connection (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014705

DOI: 10.1016/j.chaos.2025.117457

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