Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor

Minglin Ma, Xiaohua Xie, Yang Yang, Zhijun Li, Yichuang Sun

Research output: Contribution to journalArticlepeer-review


At present, many neuron models have been proposed, which can be divided into discrete neuron models and continuous neuron models. Discrete neuron models have the advantage of faster simulation speed and the ease of understanding complex dynamic phenomena. Due to the properties of memorability, nonvolatility, and local activity, locally active discrete memristors (LADMs) are also suitable for simulating synapses. In this paper, we use an LADM to mimic synapses and establish a Rulkov neural network model. It is found that the change of coupling strength and the initial state of the LADM leads to multiple firing patterns of the neural network. In addition, considering the influence of neural network parameters and the initial state of the LADM, numerical analysis methods such as phase diagram and timing diagram are used to study the phase synchronization. As the system parameters and the initial states of the LADM change, the LADM coupled Rulkov neural network exhibits synchronization transition and synchronization coexistence.
Original languageEnglish
Article number058701
Pages (from-to)1-5
Number of pages5
JournalChinese Physics B (CPB)
Issue number5
Early online date8 Feb 2023
Publication statusPublished - 1 May 2023


  • Rulkov
  • locally active discrete memristor (LADM)
  • synchronization coexistence


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