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Erschienen in: Archive of Applied Mechanics 3/2023

05.11.2022 | Original

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

verfasst von: XinYue Chen, XiangDong Liu, Ran Chen, Fan Li, Shuai Liu

Erschienen in: Archive of Applied Mechanics | Ausgabe 3/2023

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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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Metadaten
Titel
Dynamics transitions in coupled Kuramoto oscillators model with heterogeneity and asymmetric coupling effects
verfasst von
XinYue Chen
XiangDong Liu
Ran Chen
Fan Li
Shuai Liu
Publikationsdatum
05.11.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 3/2023
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02315-x

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