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Dynamics of coupled Kuramoto oscillators with distributed delays
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posted on 2023-06-10, 06:06 authored by Aleksandra Ross, SN Kyrychko, Konstantin BlyussKonstantin Blyuss, Yuliya KyrychkoYuliya KyrychkoThis 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.
History
Publication status
- Published
File Version
- Accepted version
Journal
ChaosISSN
1054-1500Publisher
AIP PublishingExternal DOI
Issue
10Volume
31Page range
103107Event location
United StatesDepartment affiliated with
- Mathematics Publications
Notes
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/10.1063/5.0055467Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2023-01-30First Open Access (FOA) Date
2023-01-30First Compliant Deposit (FCD) Date
2023-01-30Usage metrics
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