https://doi.org/10.1140/epjs/s11734-025-01609-9
Regular Article
Synchronization in bistable memristive ML neuron networks with pinning control
Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, 250200, Jinan, China
Received:
25
January
2025
Accepted:
29
March
2025
Published online:
17
May
2025
Achieving synchronization in multistable systems is a complex task due to their sensitivity and the transitions between different attractors. Given the importance of synchronization in neuronal populations, we investigate its occurrence in coupled bistable memristive Morris–Lecar (ML) neurons. Two cases of bistability are considered: one involving chaotic bursting and periodic spiking dynamics, and the other involving two periodic spiking dynamics. For each case, the effects of various initial conditions from different basins of attraction are examined. By computing basin stability, we assess the likelihood of the system settling into different synchronization states. A pinning controller is introduced to the network, and the results demonstrate that chaotic bursting controllers typically require lower coupling strengths to achieve synchronization when random initial conditions are used. In the case of bistability between two periodic spiking dynamics, the controller with higher basin stability achieves synchronization at lower coupling strengths. Additionally, the study shows the various spiking and bursting dynamics observed before synchronization is achieved with the pinning controller. These findings offer valuable insights for robust synchronization in bistable neuronal networks.
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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.
