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.
Original language | English |
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Pages (from-to) | 4330-4349 |
Number of pages | 20 |
Journal | Applicable Analysis |
Volume | 102 |
Issue number | 15 |
DOIs | |
State | Published - 2023 |
Keywords
- 34D05
- 34D06
- distributed time-delays
- inertia effect
- Kuramoto model
- Primary
- Secondary
- synchronization