Filtering regulation of synchronization and energy balance in functional memristor networks

Jingjing Yang; Suyuan Huang; Yuan Chai; Shunmin Yao; Rui Zhu; Jingjing Yang; Suyuan Huang; Yuan Chai; Shunmin Yao; Rui Zhu

doi:10.3934/era.2026148

Electronic Research Archive

2026, Volume 34, Issue 5: 3289-3314. doi: 10.3934/era.2026148

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Research article

Filtering regulation of synchronization and energy balance in functional memristor networks

School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201306, China

Received: 09 February 2026 Revised: 19 March 2026 Accepted: 02 April 2026 Published: 15 April 2026

The frequency-selective response of the nervous system bears a strong resemblance to filtering mechanisms. However, how concurrent cross-modal filtering influences neuronal synchronization remains unclear. This study constructed a coupled photosensitive-auditory neuron model incorporating flux-controlled memristors. Through inductive coil connections, we investigated its synchronous dynamics under frequency-swept signal excitation. The key innovation lies in simultaneously applying swept chirp excitation to both light and sound inputs, achieving biophysically plausible bandpass filtering based on the intrinsic frequency tuning of sensory pathways, while employing an adaptive coupling strategy based on Hamiltonian energy differences. Results demonstrate that bimodal filtering significantly enhances frequency-dependent synchronization. When the sweeping signal traverses the dual passbands, the system exhibits robust synchronization characterized by phase locking and energy minimization, significantly outperforming unfiltered or unimodal conditions. This study reveals cross-modal collaborative filtering as a fundamental mechanism for neural synchronization, providing a computational framework for multisensory integration. It offers significant implications for developing novel neural prostheses synchronized by photoacoustic cues.
- FitzHugh-Nagumo model,
- photosensitive neurons,
- auditory neurons,
- memristor,
- wave filtering
Citation: Jingjing Yang, Suyuan Huang, Yuan Chai, Shunmin Yao, Rui Zhu. Filtering regulation of synchronization and energy balance in functional memristor networks[J]. Electronic Research Archive, 2026, 34(5): 3289-3314. doi: 10.3934/era.2026148

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Abstract

The frequency-selective response of the nervous system bears a strong resemblance to filtering mechanisms. However, how concurrent cross-modal filtering influences neuronal synchronization remains unclear. This study constructed a coupled photosensitive-auditory neuron model incorporating flux-controlled memristors. Through inductive coil connections, we investigated its synchronous dynamics under frequency-swept signal excitation. The key innovation lies in simultaneously applying swept chirp excitation to both light and sound inputs, achieving biophysically plausible bandpass filtering based on the intrinsic frequency tuning of sensory pathways, while employing an adaptive coupling strategy based on Hamiltonian energy differences. Results demonstrate that bimodal filtering significantly enhances frequency-dependent synchronization. When the sweeping signal traverses the dual passbands, the system exhibits robust synchronization characterized by phase locking and energy minimization, significantly outperforming unfiltered or unimodal conditions. This study reveals cross-modal collaborative filtering as a fundamental mechanism for neural synchronization, providing a computational framework for multisensory integration. It offers significant implications for developing novel neural prostheses synchronized by photoacoustic cues.

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