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arXiv · 1304.0610

Link-disorder fluctuation effects on synchronization in random networks

Hyunsuk Hong·Jaegon Um·Hyunggyu Park
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Abstract

We consider one typical system of oscillators coupled through disordered link configurations in networks, i.e., a finite population of coupled phase oscillators with distributed intrinsic frequencies on a random network. We investigate collective synchronization behavior, paying particular attention to link-disorder fluctuation effects on the synchronization transition and its finite-size scaling (FSS). Extensive numerical simulations as well as the mean-field analysis have been performed. We find that link-disorder fluctuations effectively induce {\em uncorrelated random} fluctuations in frequency, resulting in the FSS exponent $\barν=5/2$, which is identical to that in the globally coupled case (no link disorder) with frequency-disorder fluctuations.

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Hyunsuk Hong, Jaegon Um, Hyunggyu Park. 2013-04-02. Link-disorder fluctuation effects on synchronization in random networks. https://doi.org/10.1103/physreve.87.042105

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