https://doi.org/10.1140/epjs/s11734-025-01783-w
Regular Article
Chimera states and disordered diffusion in the coupled neural networks utilizing a simplified memristive neuron
1
School of Automation and Electronic Information, Xiangtan University, 411105, Xiangtan, China
2
School of Physics and Electronics, Central South University, 410083, Changsha, China
3
School of Mechanical and Electrical Engineering, Guizhou Normal University, 550025, Guiyang, China
Received:
11
April
2025
Accepted:
27
June
2025
Published online:
24
July
2025
At present, dynamics in the coupled neural network aroused much interest since it can simulate the complex nonlinear behaviors in the brain. In this paper, we introduced to a two-dimensional chaotic memristive neuron for building the neural network and investigated its spatio-temporal patterns caused by multistability and disordered diffusion. First, the memristive neuron model is presented and its bifurcation with system parameters is analyzed. Then, different kinds of neuron networks are built, where the network building methods are discussed in detail. Finally, numerical simulations are carried out. Synchronization, chimera states, and spatio-temporal patterns are observed in the designed networks. Specially, we found that, in the lattice network, when the coupled strength of one neuron is changed and aroused nonsynchronously, the rest of the neurons will follow this neuron and the whole network becomes non-synchronous. We call this phenomenon as disordered diffusion in the coupled neural networks. The presented dynamical behaviors in the proposed neural network further explain the complex behaviors of the brain and can provide some more references for the further analysis.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
