Multi-stability of multi-clustered chimera states in a ring of nonlocally coupled Brusselators

Mingxue Yang, Yirui Chen, Wenchen Han and Junzhong Yang
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Mingxue Yang: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Yirui Chen: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Wenchen Han: College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610101, P. R. China
Junzhong Yang: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 02, 1-13

Abstract: Chimera states have drawn great attention during the last several years. Multi-clustered chimera states with several coherent domains are one important type of chimera dynamics due to their relations with pattern formation. In this work, we study a ring of nonlocally coupled Brusselators. We find that the multi-stability of multi-clustered chimera states prevails in the model and that the phenomenon is insensitive to the coupling radius. The mechanisms behind the multi-stability of multi-clustered chimera states are explored. We find that there are two types of multi-clustered chimera states, one occurring at the coupling radius close to 0.5 and the other occurring at the coupling radius away from 0.5. The multi-stability of the former one originates from the periodic two-cluster dynamics in globally coupled Brusselators. The multi-stability of the latter one may be explained by linear growth rates of the perturbation, which are related but insensitive to different wave numbers to homogeneous states.

Keywords: Chimera states; multi-stability; multi-clustered chimera; Brusselators (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500158

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