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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mingxue Yang & Yirui Chen & Wenchen Han & Junzhong Yang, 2023. "Multi-stability of multi-clustered chimera states in a ring of nonlocally coupled Brusselators," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(02), pages 1-13, February.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:02:n:s0129183123500158
    DOI: 10.1142/S0129183123500158
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