https://doi.org/10.1140/epjs/s11734-025-01736-3
Regular Article
Synchronized and coherent transitions in the network of bistable neurons
School of Materials and Physics, China University of Mining and Technology, University Road 1, 221116, Xuzhou, China
Received:
2
April
2025
Accepted:
3
June
2025
Published online:
10
July
2025
Synchronization and coherence are widely studied in networks involving excitable, limit cycle, and chaotic elements. In fact, noise-induced transitions in bistable systems are also a kind of rhythmical activity with less coherence due to the random nature of the bistable transition. Coupling can significantly enhance synchronization in the network. Thus, coupling may aid in creating synchronized and coherent transitions in the network with bistable elements. In this paper, we explore synchronized and coherent bistable transitions in a regular network containing bistable elements, whose dynamics are described by the bistable FitzHugh–Nagumo(FHN)-type model. The parameter regions for which synchronized and coherent transitions occur are identified numerically. The scope of the regions indicates that the synchronized and coherent bistable transitions are highly robust. In the exploration of parameter regions, the behaviors of coupling-induced resonance and coherence resonance are found explicitly, similar to those in networks with excitable, limit cycle, or chaotic oscillators.
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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.
