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Dynamics transitions in coupled Kuramoto oscillators model with heterogeneity and asymmetric coupling effects

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Abstract

The interplay between system dynamics and topological structure plays a crucial role in nonlinear system and modern network science. In this paper, we intend to investigate the effects of both heterogeneity and asymmetric coupling on the collective behaviors of Kuramoto oscillators, and reveal the processes how the synchronization transits to multi-cluster or disorder states. We find that the complete synchronization and anti-phase synchronization states in a star motif change into the remote synchronization state, owing to the disparity in the values of oscillators’ natural frequencies, and further become into multi-cluster due to the existence of multiple hubs in complete bipartite network, and finally achieve disorder state in complex networks. These findings are helpful to understand the forming processes of remote synchronization and general multi-cluster in coupled systems.

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Acknowledgements

We acknowledge the support of this work by the National Natural Science Foundation of China under Grant No. 11605142, and the Fundamental Research Funds for the Central Universities under Grant Nos. 2452022375, 2452021062 and 2452020183.

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Authors and Affiliations

  1. College of Science, Northwest A &F University, Yangling, 712100, China

    XinYue Chen, XiangDong Liu, Ran Chen & Shuai Liu

  2. College of Energy Engineering, Yulin University, YuLin, 719000, China

    Fan Li

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Correspondence to Shuai Liu.

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Chen, X., Liu, X., Chen, R. et al. Dynamics transitions in coupled Kuramoto oscillators model with heterogeneity and asymmetric coupling effects. Arch Appl Mech 93, 1095–1106 (2023). https://doi.org/10.1007/s00419-022-02315-x

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