Synchronizing distant nodes: a universal classification of networks

Details Synchronizing distant nodes: a universal classification of networks Synchronizing distant nodes: a universal classification of networks

2010-09-30

arxiv.org/abs/1009.6120v2

Phys. Rev. Lett. 105, 254101 (2010)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure, 1 table. Phys. Rev. Lett. in print, v2 has minor changes in response to PRL referee comments

Scientific paper

10.1103/PhysRevLett.105.254101

Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays synchronizability relates in a simple way to the spectral properties of the network topology. The master stability function used to determine stability of synchronous solutions has a universal structure in the limit of large delay: it is rotationally symmetric around the origin and increases monotonically with the radius in the complex plane. This allows a universal classification of networks with respect to their synchronization properties and solves the problem of complete synchronization in networks with strongly delayed coupling.

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