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Dynamics in a memristor-coupled heterogeneous neuron network under electromagnetic radiation

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Abstract

The electromagnetic environment around neurons is very complex, and studying the effect of electromagnetic radiation on the firing behavior of neurons is of great significance. In this paper, we establish a memristor-coupled heterogeneous neuron network composed of an HR neuron and a FHN neuron, where the effect of electromagnetic radiation is modeled by the induced current of the flux-controlled memristor. The firing behaviors of the network are studied through phase diagrams, time series, bifurcation diagrams, Lyapunov exponent spectrums, and local attraction basins. It is found that under different initial conditions, the network exhibits different bifurcation routes by varying the coupling strength, resulting in the coexistence of multiple firing patterns. More interestingly, the network, under different initials, appears completely opposite bifurcation routes when the electromagnetic radiation intensities vary. In addition, synchronous firing behavior between two heterogeneous neurons is also explored. It is observed that both neurons can achieve phase synchronization more easily when the coupling strength decreases to a negative value. Finally, the numerical analysis is verified by the Multisim circuit.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundations of China under Grant No. 62171401 and 62071411 and the Hunan Provincial Natural Science

Foundation of China under Grant No. 2022JJ30572.

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Authors and Affiliations

  1. School of Automation and Electronic Information, Xiangtan University, Xiangtan, 41110, Hunan, China

    Cheng Peng, Zhijun Li, Mengjiao Wang & Minglin Ma

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  1. Cheng Peng
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Correspondence to Zhijun Li.

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Peng, C., Li, Z., Wang, M. et al. Dynamics in a memristor-coupled heterogeneous neuron network under electromagnetic radiation. Nonlinear Dyn 111, 16527–16543 (2023). https://doi.org/10.1007/s11071-023-08671-9

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