Synchronization cluster bursting in adaptive oscillator networks

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Date
2024-12-24
Authors
Wei, Mengke
Amann, Andreas
Burylko, Oleksandr
Han, Xiujing
Yanchuk, Serhiy
Kurths, Jürgen
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AIP Publishing
Published Version
10.1063/5.0226257
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Abstract
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.
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Keywords
Synchronization dynamics , Networks of adaptive oscillators , Paradigmatic system of adaptively coupled phase oscillators
Citation
Wei, M., Amann, A., Burylko, O., Han, X., Yanchuk, S. and Kurths, J. (2024) 'Synchronization cluster bursting in adaptive oscillator networks', Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(12), 123167. https://doi.org/10.1063/5.0226257
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https://hdl.handle.net/10468/16893
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Mathematical Sciences- Journal Articles
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© 2024, the Authors. Published under an exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared as: Wei, M., Amann, A., Burylko, O., Han, X., Yanchuk, S. and Kurths, J. (2024) 'Synchronization cluster bursting in adaptive oscillator networks', Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(12), 123167. https://doi.org/10.1063/5.0226257