Abstract
We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the discrete-time Kuramoto model with multiplicative noise will be asymptotically synchronized almost surely.
| Original language | English |
|---|---|
| Pages (from-to) | 559-578 |
| Number of pages | 20 |
| Journal | Kyungpook Mathematical Journal |
| Volume | 64 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2024 |
Keywords
- Euler-Maruyama method
- Kuramoto model
- order parameter
- synchronization
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