From Net Topology to Synchronization in HR Neuron Grids
In this paper, we investigate the role of topology onsynchronization, a fundamental feature of many technological andbiological fields. We study it in Hindmarsh-Rose neural networks,with electrical and chemical synapses, where neurons are placed ona bi-dimensional lattice, folded on a torus, and the...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-10-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.53 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we investigate the role of topology onsynchronization, a fundamental feature of many technological andbiological fields. We study it in Hindmarsh-Rose neural networks,with electrical and chemical synapses, where neurons are placed ona bi-dimensional lattice, folded on a torus, and the synapses areset according to several topologies. In addition to the standardtopologies used in other studies, we introduce a new model thatgeneralizes the Barabási-Albert scale-free model, taking intoaccount the physical distance between nodes. Such a model, becauseof its plausibility both in the static characteristics and in thedynamical evolution, is a good representation for those realnetworks (such as a network of neurons) whose edges are notcostless. We investigate synchronization in several topologies;the results strongly depend on the adopted synapse model. |
|---|---|
| ISSN: | 1551-0018 |