Analysis of Synchronization Behavior of Small World Networks by Kuramoto Model
Koray Çiftçi
Abstract
Koray Çiftçi
Abstract
In this study, the synchronization behaviour of coupled oscillators with heterogeneous intrinsic frequencies is investigated with the Kuramoto Model. The network structure is varied between the completely regular and completely random states and the synchronization among the oscillators is determined by quantifying the phase locking among them. It is concluded that the synchronization is optimal in the small world regime which stands between the fully regular and random states.
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In this study, the synchronization behaviour of coupled oscillators with heterogeneous intrinsic frequencies is investigated with the Kuramoto Model. The network structure is varied between the completely regular and completely random states and the synchronization among the oscillators is determined by quantifying the phase locking among them. It is concluded that the synchronization is optimal in the small world regime which stands between the fully regular and random states.
Key concepts: Kuramoto model, Synchronization (alternating current), Synchronization networks, Phase synchronization, Small-world network, Statistical physics, Topology (electrical circuits), Computer science