Synchronization in scale-free networks: The role of finite-size effects
- D. Torres
- M. A. Di Muro
- C. E. La Rocca
- L. A. Braunstein
DOIAbstract
Synchronization problems in complex networks are very often studied by researchers due to their many applications to various fields such as neurobiology, e-commerce and completion of tasks. In particular, scale-free networks with degree distribution $P(k)\sim k^{-\lambda}$ , are widely used in research since they are ubiquitous in Nature and other real systems. In this paper we focus on the surface relaxation growth model in scale-free networks with $2.5< \lambda <3$ , and study the scaling behavior of the fluctuations, in the steady state, with the system size N. We find a novel behavior of the fluctuations characterized by a crossover between two regimes at a value of $N=N^*$ that depends on λ: a logarithmic regime, found in previous res...
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