Work

Collective Dynamics in Sparse Networks

Year: 2012
Type: article
Abstract: The microscopic and macroscopic dynamics of random networks is investigated in the strong-dilution limit (i.e., for sparse networks). By simulating chaotic maps, Stuart-Landau oscillators, and leaky integrate-and-fire neurons, we show that a finite connectivity (of the order of a few tens) is able to sustain a nontrivial collective dynamics even in the thermodynamic limit. Although the network structure implies a nonadditive dynamics, the microscopic evolution is extensive (i.e., the number of active degrees of freedom is proportional to the number of network elements).
Language: English
Open Access status: green
OpenAlex ID: W2062792982
FWCI: 5.908
Cites: 28
Cited by: 59
Related to: 10