4.4 Article

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

Journal

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 231, Issue 22-23, Pages 4065-4076

Publisher

SPRINGER HEIDELBERG
DOI: 10.1140/epjs/s11734-022-00699-z

Keywords

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Funding

  1. Natural Science Foundation of China [61901530, 62071496, 62061008]
  2. Natural Science Foundation of Hunan Province [2020JJ5767]

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This paper discusses the properties of individual Chialvo neurons in discrete memristor neural networks. By changing the coupling gain, the synchronization of two neurons with different firing modes through discrete memristors is studied. Simulation results show that discrete memristors effectively synchronize neurons and neural networks.
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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