Homogeneous delays in the Kuramoto model with time-variable parameters

Barabash, Miraslau and Petkoski, Spase and Stefanovska, Aneta (2014) Homogeneous delays in the Kuramoto model with time-variable parameters. Physical Review E, 90 (5). ISSN 1539-3755

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The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble’s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.

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Journal Article
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Physical Review E
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21 Oct 2015 04:59
Last Modified:
22 Nov 2022 02:18