Open AccessFrom Net Topology to Synchronization in HR Neuron Grids
Author(s) -
Stefano Cosenza,
Paolo Crucitti,
Luigi Fortuna,
Mattia Frasca,
Manuela La Rosa,
Cecilia Stagni,
Lisa Usai
Publication year - 2005
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2005.2.53
Subject(s) - network topology , topology (electrical circuits) , synchronization (alternating current) , computer science , representation (politics) , synchronization networks , net (polyhedron) , artificial neural network , torus , mathematics , artificial intelligence , computer network , geometry , combinatorics , politics , political science , law
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.