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Dynamics and chimera state in a neural network with discrete memristor coupling

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Abstract

Due to characteristics of memristor being highly similar to the principle and structure of synapses in biological brains, memristor neural networks are widely studied. Discrete memristor made it possible to study the discrete memristor neural network. In this paper, the properties of the individual Chialvo neuron are discussed. The synchronization of two neurons through different firing modes coupled with a discrete memristor is studied by changing the coupling gain. A ring neural network is constructed, and two adjacent neurons are connected by a discrete memristor. Synchronization and chimera state in the network are analyzed from the coupling gain and the number of neurons with different firing modes in the network. Simulation results show that discrete memristor plays the role of synapse well and realizes the synchronization of neurons and neural networks.

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All data and models during the study appear in the submitted article.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (Nos. 61901530, 62071496, 62061008), and the Natural Science Foundation of Hunan Province (No. 2020JJ5767).

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Authors and Affiliations

  1. School of Physics and Electronics, Central South University, Changsha, 410083, China

    Chenxi Shang, Shaobo He, Huihai Wang & Kehui Sun

  2. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, India

    Karthikeyan Rajagopal

Authors
  1. Chenxi Shang
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  2. Shaobo He
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  3. Karthikeyan Rajagopal
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  4. Huihai Wang
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  5. Kehui Sun
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Contributions

CS: software, formal analysis, writing—original draft, and writing—review and editing. SH: conceptualization, methodology, and funding acquisition. KR: methodology. HW: discussion. KS: supervision, discussion, and modification.

Corresponding author

Correspondence to Kehui Sun.

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The authors declare no conflict of interest.

Additional information

Collective Behavior of Nonlinear Dynamical Oscillators. Guest editors: Sajad Jafari, Bocheng Bao, Christos Volos, Fahimeh Nazarimehr, Han Bao.

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Shang, C., He, S., Rajagopal, K. et al. Dynamics and chimera state in a neural network with discrete memristor coupling. Eur. Phys. J. Spec. Top. 231, 4065–4076 (2022). https://doi.org/10.1140/epjs/s11734-022-00699-z

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