Synchrony-optimized Networks of Non-identical Kuramoto Oscillators

Details Synchrony-optimized Networks of Non-identical Kuramoto Oscillators Synchrony-optimized Networks of Non-identical Kuramoto Oscillators

2008-09-26

arxiv.org/abs/0809.4531v1

Phys. Lett. A 372 (2008) 2618-2622

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1016/j.physleta.2007.11.069

In this letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a given network by a suitable placement of oscillators are given: (i) native frequencies of adjacent oscillators must be anti-correlated and (ii) frequency magnitudes should positively correlate with the degree of the node they are placed at.

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