Weighted networks are more synchronizable: how and why

Details Weighted networks are more synchronizable: how and why Weighted networks are more synchronizable: how and why

2005-06-22

arxiv.org/abs/cond-mat/0506556v1

AIP Conference Proceedings 776, 201 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Proceedings of the CNET 2004 (29 August - 2 September 2004)

Scientific paper

10.1063/1.1985389

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress synchronization in random networks of dynamical systems. Here we review our recent findings that complete synchronization is significantly enhanced and becomes independent of both distributions when the distribution of weights is suitably combined with the distribution of degrees. We also present new results addressing the optimality of our findings and extending our analysis to phase synchronization in networks of non-identical dynamical units.

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