Collective synchronization in the presence of reactive coupling and shear diversity

Abstract

We analyze the synchronization dynamics of a model obtained from the phase reduction of the mean-field complex Ginzburg-Landau equation with heterogeneity. We present exact results that uncover the role of dissipative and reactive couplings on the synchronization transition when shears and natural frequencies are independently distributed. As it occurs in the purely dissipative case, an excess of shear diversity prevents the onset of synchronization, but this does not hold true if coupling is purely reactive. In this case the synchronization threshold turns out to depend on the mean of the shear distribution, but not on all the other distribution's moments.

To appear in Phys. Rev. E

References in corpus (5)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Conformists and contrarians in a Kuramoto model with identical natural frequencies
• Shear diversity prevents collective synchronization
• Pattern formation with trapped ions
• The Kuramoto model with distributed shear

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• Hierarchy of exact low-dimensional reductions for populations of coupled oscillators
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• Discordant synchronization patterns on directed networks of identical phase oscillators with attractive and repulsive couplings
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• Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators
• Multiple-parameter bifurcation analysis in a Kuramoto model with time delay and distributed shear