https://doi.org/10.1140/epjs/s11734-024-01143-0
Regular Article
Multi-chimera states in a higher order network of FitzHugh–Nagumo oscillators
1
School of Mathematics and Computer Science, Yan’an University, 716000, Yan’an, People’s Republic of China
2
Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source, Xijing University, 710123, Xi’an, People’s Republic of China
3
School of Electrical Engineering, Xi’an University of Technology, 710061, Xi’an, People’s Republic of China
Received:
19
January
2024
Accepted:
2
March
2024
Published online:
14
March
2024
A chimera state represents a distinct configuration within interconnected oscillatory networks comprising both coherent and incoherent oscillators. In specific scenarios, multiple sets of synchronized systems can coexist, forming what is termed a multi-chimera state. This phenomenon has previously been documented in a network of FitzHugh–Nagumo systems under strong coupling conditions. In this study, we explore the impact of higher order interactions on the manifestation of multi-chimera states and their respective domains. The assessment involves utilizing measures of incoherence and discontinuity. The findings indicate that higher order networks are more prone to exhibiting multi-chimera states. Additionally, complete coherence is achieved with lower first-order coupling strength. Furthermore, the higher order network displays instances of imperfect chimera and imperfect synchronization.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
