Critical points, stability, and basins of attraction of three Kuramoto oscillators with isosceles triangle network
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 109246 |
| Number of pages | 6 |
| Journal / Publication | Applied Mathematics Letters |
| Volume | 158 |
| Online published | 27 Jul 2024 |
| Publication status | Published - Dec 2024 |
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Abstract
We investigate the Kuramoto model with three oscillators interconnected by an isosceles triangle network. The characteristic of this model is that the coupling connections between the oscillators can be either attractive or repulsive. We list all critical points and investigate their stability. We furthermore present a framework studying convergence towards stable critical points under special coupled strengths. The main tool is the linearization and the monotonicity arguments of oscillator diameter.© 2024 Elsevier Ltd.
Research Area(s)
- Kuramoto model, Critical point, Stability, Basin of attraction
Citation Format(s)
Critical points, stability, and basins of attraction of three Kuramoto oscillators with isosceles triangle network. / ZHAO, Xiaoxue; ZHOU, Xiang.
In: Applied Mathematics Letters, Vol. 158, 109246, 12.2024.
In: Applied Mathematics Letters, Vol. 158, 109246, 12.2024.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
