Emergence of synchronization in Kuramoto model with general digraph (Q2099225)
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scientific article; zbMATH DE number 7622306
| Language | Label | Description | Also known as |
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| English | Emergence of synchronization in Kuramoto model with general digraph |
scientific article; zbMATH DE number 7622306 |
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Emergence of synchronization in Kuramoto model with general digraph (English)
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23 November 2022
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The authors consider the question of complete synchronisation (all oscillators are eventually stationary in a rotating frame, and have similar phases) in a directed network of nonidentical Kuramoto phase oscillators. The main result is that if the network contains a spanning tree and the initial phases are distributed in an open half circle, then for sufficiently strong coupling the phases will be confined to a small region in a quarter circle after finite time. A three-oscillator system is used to explain many of the results.
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synchronization
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Kuramoto model
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general digraph
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spanning tree
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hypocoercivity
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