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Memristor-coupled dual-neuron mapping model: initials-induced coexisting firing patterns and synchronization activities

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Abstract

Synaptic plasticity makes memristors particularly suitable for simulating the connection synapses between neurons that describe magnetic induction coupling. By applying a memristor to the synaptic coupling between two map-based neuron models, a memristor-coupled dual-neuron mapping (MCDN) model is proposed in this article. The MCDN model has a line fixed point set associated with the memristor initial state, which is always unstable for the model parameters and memristor initial state of interest. Complex spiking/bursting firing patterns and their transitions are disclosed using some dynamical analysis means. The numerical results show that these spiking/bursting firings are significantly relied on the memristor initial state, demonstrating the coexistence of firing patterns. Moreover, the initial effects of complete synchronization are explored for the homogeneous MCDN model, and it is clarified that in addition to being related to the coupling strength, the synchronization activities are extremely dependent on the initial states of the memristor and neurons. Finally, these numerical results are confirmed by the FPGA-based hardware experiments.

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Acknowledgements

This work was supported by the grants from the National Natural Science Foundation of China under Grant Nos. 62201094, 62271088, 12172066, and 52277001, and the Scientific Research Foundation of Jiangsu Provincial Education Department, China, under Grant No. 22KJB510001.

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  1. School of Microelectronics and Control Engineering, Changzhou University, Changzhou, 213159, People’s Republic of China

    Bocheng Bao, Jingting Hu, Han Bao, Quan Xu & Mo Chen

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  1. Bocheng Bao
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  2. Jingting Hu
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Correspondence to Han Bao.

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Bao, B., Hu, J., Bao, H. et al. Memristor-coupled dual-neuron mapping model: initials-induced coexisting firing patterns and synchronization activities. Cogn Neurodyn 18, 539–555 (2024). https://doi.org/10.1007/s11571-023-10006-8

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