Explosive synchronization dependence on initial conditions: The minimal Kuramoto model

Atiyeh Bayani, Sajad Jafari, Hamed Azarnoush, Fahimeh Nazarimehr, Stefano Boccaletti and Matjaž Perc

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: Transitions from incoherent to coherent dynamical states can be observed in various real-world networks, ranging from neurons to power-grids. These transitions can be explosive or continuous, with far-reaching implications for the functioning of the affected system. It is therefore of the utmost importance to determine the conditions under which such transitions occur. While a lot of studies in literature focused on the dynamical and/or structural network properties that may generate explosive synchronization, here we report on the effects of different initial conditions. To this purpose, we consider the minimal network of Kuramoto oscillator that may display explosive synchronization, and we show that the nature of the transition changes from continuous to discontinuous as phases are differently initialized. We also determine the critical coupling strength for explosive synchronization, which also depends on the initial conditions.

Keywords: Kuramoto model; Network; Explosive synchronization; Continuous synchronization (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001443

DOI: 10.1016/j.chaos.2023.113243

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