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arXiv · 2205.08849

Synchronization of frustrated phase oscillators in the small-world networks

Esmaeil Mahdavi·Mina Zarei·Farhad Shahbazi
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Abstract

We numerically study the synchronization of an identical population of Kuramoto-Sakaguchi phase oscillators in Watts-Strogatz networks. We find that, unlike random networks, phase-shift could enhance the synchronization in small-world networks. We also observe abrupt phase transition with hysteresis at some values of phase shifts in small-world networks, signs of an explosive phase transition. Moreover, we report the emergence of Chimera states at some values of phase-shift close to the transition points, which consist of spatially coexisting synchronized and desynchronized domains.

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Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi. 2022-05-18. Synchronization of frustrated phase oscillators in the small-world networks. https://arxiv.org/abs/2205.08849

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