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Multi-chimera states in a higher order network of FitzHugh–Nagumo oscillators

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Abstract

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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Acknowledgements

This paper is supported by the National Natural Science Foundation of China (22278338, 12172281), the Natural Science Basic Research Program of Shaanxi (2021JM-533), the Fund of the Science and Technology Innovation Team of Shaanxi (2022TD-61), the Support Plan for Sanqin Scholars Innovation Team in Shaanxi Province of China, the Fund of the Youth Innovation Team of Shaanxi Universities, and the Scientific Research Foundation of Xijing University (XJ21B01). The authors also express their gratitude to the reviewers for their insightful comments.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Yan’an University, Yan’an, 716000, People’s Republic of China

    Zhen Wang

  2. Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source, Xijing University, Xi’an, 710123, People’s Republic of China

    Zhen Wang, Xiaojian Xi, Huaigu Tian & Rui Yang

  3. School of Electrical Engineering, Xi’an University of Technology, Xi’an, 710061, People’s Republic of China

    Mingshu Chen

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  1. Zhen Wang
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Correspondence to Zhen Wang.

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Wang, Z., Chen, M., Xi, X. et al. Multi-chimera states in a higher order network of FitzHugh–Nagumo oscillators. Eur. Phys. J. Spec. Top. (2024). https://doi.org/10.1140/epjs/s11734-024-01143-0

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