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- Jung, Chang-Yeol
- Numerical Analysis Lab.
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Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect
- Author(s)
- Hsia, Chun-Hsiung, Jung, Chang-Yeol, Kwon, Bongsuk, Moon, Sunghwan
- Issued Date
- 2023-08
- Citation
- APPLICABLE ANALYSIS, v.102, no.15, pp.4330 - 4349
- Abstract
- We prove the complete and partial phase synchronization for the Kuramoto oscillators with distributed time-delays and inertia effect. Our results assert that the Kuramoto models incorporated with a small variation of distributed time-delays and inertia effect still exhibit synchronization. This shows the robustness of the synchronization phenomena of the original Kuramoto model in the perturbation of time-delay and inertia effects. We also present several numerical experiments supporting our main results and exhibiting interesting patterns.
- Publisher
- TAYLOR & FRANCIS LTD
- ISSN
- 0003-6811
- Keyword (Author)
- Kuramoto model, synchronization, inertia effect, distributed time-delays
- Keyword
- LIMIT-CYCLE OSCILLATORS, COUPLED OSCILLATORS, MODEL, DISCRETE, NETWORKS, STABILITY, DYNAMICS, SYSTEMS
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