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Electrical activity and synchronization of HR-tabu neuron network coupled by Chua Corsage Memristor

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Abstract

The processing and transmission of biological neural information are jointly completed by the electromagnetic activities of neurons in different brain regions. And memristor is the appropriate candidate for mimicking synapse due to its unique memory function and synapse-like plasticity. Therefore, it is of great significance to explore the electrical behavior of heterogeneous neuron network coupled by memristor. This paper focuses on the electrical activity and synchronization of a bi-neuron network (HR-tabu neuron network) built by coupling Hindmarsh–Rose and tabu learning models with Chua Corsage Memristor (CCM). The electrical activities of HR-tabu network, such as spiking discharge and bursting discharge, are revealed under appropriate external stimuli and coupling strength. Interestingly, we find that the initial value-related state switching of HR-tabu network is associated with the equilibrium states of CCM. In addition, the synchronization behavior of HR-tabu network depending on the coupling strength, external stimuli and system parameters is investigated in detail by analyzing the phase difference and synchronization factor. It is shown that phase synchronization of HR-tabu neuron network can be achieved under small coupling strength, and that complete synchronization can be achieved when the coupling strength is large enough. The obtained results provide possible guidance for regulating the firing activity and synchronous behavior of artificial neurons, and therefore have potential applications in brain science and biomimetics.

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Funding

This work was supported by Hunan Provincial Natural Science Foundation of China (Nos. 2019JJ40109, 2020JJ4337) and National Natural Science Foundations of China (No. 62171401).

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Authors and Affiliations

  1. Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, Hunan Institute of Science and Technology, Yueyang, 414006, China

    Chunlai Li, Xuan Wang & Jianrong Du

  2. School of Computer Science & School of Cyberspace Science, Xiangtan University, Xiangtan, 411105, China

    Chunlai Li

  3. School of Automation and Electronic Information, Xiangtan University, Xiangtan, 411105, Hunan, China

    Zhijun Li

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  1. Chunlai Li
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Correspondence to Chunlai Li.

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Li, C., Wang, X., Du, J. et al. Electrical activity and synchronization of HR-tabu neuron network coupled by Chua Corsage Memristor. Nonlinear Dyn 111, 21333–21350 (2023). https://doi.org/10.1007/s11071-023-08998-3

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  • DOI: https://doi.org/10.1007/s11071-023-08998-3

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