Synchronization of Phase-coupled Oscillators with Distance-dependent Delay

Karol Trojanowski; Lech Longa

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arXiv · 1008.0494

Synchronization of Phase-coupled Oscillators with Distance-dependent Delay

Karol Trojanowski·Lech Longa

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Abstract

By means of numerical integration we investigate the coherent and incoherent phases in a generalized Kuramoto model of phase-coupled oscillators with distance-dependent delay. Preserving the topology of a complete graph, we arrange the nodes on a square lattice while introducing finite interaction velocity, which gives rise to non-uniform delay. It is found that such delay facilitates incoherence and removes reentrant behavior found in models with uniform delay. A coupling-delay phase diagram is obtained and compared with previous results for uniform delay.

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Karol Trojanowski, Lech Longa. 2010-08-03. Synchronization of Phase-coupled Oscillators with Distance-dependent Delay. https://arxiv.org/abs/1008.0494

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