Synchronization of frustrated phase oscillators in the small-world networks [article]

Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi
<span title="2022-05-18">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
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
more &raquo; ... on points, which consist of spatially coexisting synchronized and desynchronized domains.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="">arXiv:2205.08849v1</a> <a target="_blank" rel="external noopener" href="">fatcat:sp2jj7pckzfpbexv5gnrc3jjuy</a> </span>
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