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Breathing synchronization in interconnected networks.

ABSTRACT: Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a time delay appears in the interaction which might obstruct synchronization. Here we study the synchronization properties of interconnected networks of oscillators with a time delay between networks and analyze the dynamics as a function of the couplings and communication lag. We discover a new breathing synchronization regime, where two groups appear in each network synchronized at different frequencies. Each group has a counterpart in the opposite network, one group is in phase and the other in anti-phase with their counterpart. For strong couplings, instead, networks are internally synchronized but a phase shift between them might occur. The implications of our findings on several socio-technical and biological systems are discussed.

SUBMITTER: Louzada VH

PROVIDER: S-EPMC3836035 | biostudies-literature | 2013 Nov

REPOSITORIES: biostudies-literature

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Breathing synchronization in interconnected networks.

Louzada V H P VH Araújo N A M NA Andrade J S JS Herrmann H J HJ

Scientific reports 20131121

Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a time delay appears in the interaction which might obstruct synchronization. Here we study the synchronization properties of interconnected networks of oscillators with a time delay between networks and analyze the dynamics as a function of the couplings and commu ...[more]

PMID: 24256765

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