Dynamics of coupled Kuramoto oscillators with distributed delays

Ross, A, Kyrychko, SN, Blyuss, KB and Kyrychko, YN (2021) Dynamics of coupled Kuramoto oscillators with distributed delays. Chaos, 31 (10). p. 103107. ISSN 1054-1500

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This paper studies the effects of two different types of distributed-delay coupling in the system of two mutually coupled Kuramoto oscillators: one where the delay distribution is considered inside the coupling function and the other where the distribution enters outside the coupling function. In both cases, the existence and stability of phase-locked solutions is analyzed for uniform and gamma distribution kernels. The results show that while having the distribution inside the coupling function only changes parameter regions where phase-locked solutions exist, when the distribution is taken outside the coupling function, it affects both the existence, as well as stability properties of in- and anti-phase states. For both distribution types, various branches of phase-locked solutions are computed, and regions of their stability are identified for uniform, weak, and strong gamma distributions.

Item Type: Article
Additional Information: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 31, 103107 (2021) and may be found at https://doi.org/10.1063/5.0055467
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 30 Jan 2023 15:40
Last Modified: 30 Jan 2023 15:45
URI: http://sro.sussex.ac.uk/id/eprint/110427

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