Chimera states in bipartite networks of FitzHugh–Nagumo oscillators

doi:10.1007/s11467-017-0737-z

Front. Phys.

2018, Vol. 13

Issue (2) : 130503 https://doi.org/10.1007/s11467-017-0737-z

RESEARCH ARTICLE

Chimera states in bipartite networks of FitzHugh–Nagumo oscillators

Zhi-Min Wu¹, Hong-Yan Cheng¹(

), Yuee Feng², Hai-Hong Li¹, Qiong-Lin Dai¹, Jun-Zhong Yang¹(

)

¹. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
². Basic Education Department, Jiangsu Aviation Technical College, Zhenjiang 212134, China

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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.

Keywords chimera states bipartite networks FitzHugh–Nagumo oscillators

Corresponding Author(s): Hong-Yan Cheng,Jun-Zhong Yang

Issue Date: 20 December 2017

Cite this article:

Zhi-Min Wu,Hong-Yan Cheng,Yuee Feng, et al. Chimera states in bipartite networks of FitzHugh–Nagumo oscillators[J]. Front. Phys. , 2018, 13(2): 130503.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-017-0737-z
https://academic.hep.com.cn/fop/EN/Y2018/V13/I2/130503

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