Synchronization cluster bursting in adaptive oscillator networks

Wei, Mengke; Amann, Andreas; Burylko, Oleksandr; Han, Xiujing; Yanchuk, Serhiy; Kurths, Jürgen

doi:10.1063/5.0226257

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Synchronization cluster bursting in adaptive oscillator networks

Authors

Wei, Mengke
External Organizations;

/persons/resource/andreas.amann

Amann, Andreas
Potsdam Institute for Climate Impact Research;

/persons/resource/oleksandr.burylko

Burylko, Oleksandr
Potsdam Institute for Climate Impact Research;

Han, Xiujing
External Organizations;

/persons/resource/yanchuk

Yanchuk, Serhiy
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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引用

Wei, M., Amann, A., Burylko, O., Han, X., Yanchuk, S., & Kurths, J. (2024). Synchronization cluster bursting in adaptive oscillator networks. Chaos, 34(12):. doi:10.1063/5.0226257.

引用: https://publications.pik-potsdam.de/pubman/item/item_31726

要旨

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our numerical observations reveal the emergence of synchronization cluster bursting, characterized by periodic transitions between cluster synchronization and global synchronization. By investigating a reduced model, the mechanisms underlying synchronization cluster bursting are clarified. We show that a minimal model exhibiting this phenomenon can be reduced to a phase oscillator with complex-valued adaptation. Furthermore, the adaptivity of the system leads to the appearance of additional symmetries, and thus, to the coexistence of stable bursting solutions with very different Kuramoto order parameters.