Abstract
We study the asymptotic emergence of the complete synchronization of Kuramoto oscillators with hierarchical leadership. We show that asymptotic complete frequency synchronization occurs for some class of initial phase configurations, when Kuramoto oscillators are scattered on the nodes of a directed graph with a hierarchical leadership topology and the coupling strength is sufficiently large. This generalizes previous studies on the complete synchronization of Kuramoto oscillators on connected and symmetric graphs. We also provide several numerical results to confirm our analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 485-508 |
| Number of pages | 24 |
| Journal | Communications in Mathematical Sciences |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Complete synchronization
- Hierarchical leadership
- Kuramoto oscillators
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