title: From net topology to synchronization in hr neuron grids.
abstract: In this paper, we investigate the role of topology on synchronization, a fundamental feature of many technological and biological fields. We study it in Hindmarsh-Rose neural networks, with electrical and chemical synapses, where neurons are placed on a bi-dimensional lattice, folded on a torus, and the synapses are set according to several topologies. In addition to the standard topologies used in other studies, we introduce a new model that generalizes the Barabasi-Albert scale-free model, taking into account the physical distance between nodes. Such a model, because of its plausibility both in the static characteristics and in the dynamical evolution, is a good representation for those real networks (such as a network of neurons) whose edges are not costless. We investigate synchronization in several topologies; the results strongly depend on the adopted synapse model.
authors.affiliation: DIEES, University of Catania, Viale Andrea Doria 6, 95123, Catania (Italy). stefano.cosenza@tiscalinet.it.
authors.forename: Stefano
authors.initials: S
authors.lastname: Cosenza
authors.forename: Paolo
authors.initials: P
authors.lastname: Crucitti
authors.forename: Luigi
authors.initials: L
authors.lastname: Fortuna
authors.forename: Mattia
authors.initials: M
authors.lastname: Frasca
authors.forename: Manuela La
authors.initials: ML
authors.lastname: Rosa
authors.forename: Cecilia
authors.initials: C
authors.lastname: Stagni
authors.forename: Lisa
authors.initials: L
authors.lastname: Usai