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Chimera states in bipartite networks of FitzHugh–Nagumo oscillators

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Abstract

Chimera states consisting of spatially coherent and incoherent domains have been observed in different topologies such as rings, spheres, and complex networks. In this paper, we investigate bipartite networks of nonlocally coupled FitzHugh–Nagumo (FHN) oscillators in which the units are allocated evenly to two layers, and FHN units interact with each other only when they are in different layers. We report the existence of chimera states in bipartite networks. Owing to the interplay between chimera states in the two layers, many types of chimera states such as in-phase chimera states, antiphase chimera states, and out-of-phase chimera states are classified. Stability diagrams of several typical chimera states in the coupling strength–coupling radius plane, which show strong multistability of chimera states, are explored.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575036 and 11505016.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Zhi-Min Wu, Hong-Yan Cheng, Hai-Hong Li, Qiong-Lin Dai & Jun-Zhong Yang

  2. Basic Education Department, Jiangsu Aviation Technical College, Zhenjiang, 212134, China

    Yuee Feng

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  1. Zhi-Min Wu
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  2. Hong-Yan Cheng
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  3. Yuee Feng
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  4. Hai-Hong Li
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  5. Qiong-Lin Dai
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  6. Jun-Zhong Yang
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Correspondence to Hong-Yan Cheng or Jun-Zhong Yang.

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Wu, ZM., Cheng, HY., Feng, Y. et al. Chimera states in bipartite networks of FitzHugh–Nagumo oscillators. Front. Phys. 13, 130503 (2018). https://doi.org/10.1007/s11467-017-0737-z

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