Does dynamics reflect topology in directed networks?

Details Does dynamics reflect topology in directed networks? Does dynamics reflect topology in directed networks?

2006-10-06

arxiv.org/abs/cond-mat/0610186v1

Europhys. Lett., 76 (3), 367 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 4 figures, Europhysics Letters, accepted

Scientific paper

10.1209/epl/i2006-10289-y

We present and analyze a topologically induced transition from ordered, synchronized to disordered dynamics in directed networks of oscillators. The analysis reveals where in the space of networks this transition occurs and its underlying mechanisms. If disordered, the dynamics of the units is precisely determined by the topology of the network and thus characteristic for it. We develop a method to predict the disordered dynamics from topology. The results suggest a new route towards understanding how the precise dynamics of the units of a directed network may encode information about its topology.

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