Explosive synchronization dependence on initial conditions: The minimal Kuramoto model

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

Publication date: 2023

Journal: Chaos, Solitons & Fractals

Publisher: Pergamon

Description: 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 …

Total citations: 9

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Explosive synchronization dependence on initial conditions: The minimal Kuramoto model

Explosive synchronization dependence on initial conditions: The minimal Kuramoto model

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Explosive synchronization dependence on initial conditions: The minimal Kuramoto model