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...
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| Format: | Article |
| Language: | English |
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AIMS Press
2004-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.53 |
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| author | Stefano Cosenza Paolo Crucitti Luigi Fortuna Mattia Frasca Manuela La Rosa Cecilia Stagni Lisa Usai |
| author_facet | Stefano Cosenza Paolo Crucitti Luigi Fortuna Mattia Frasca Manuela La Rosa Cecilia Stagni Lisa Usai |
| author_sort | Stefano Cosenza |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5f1112b3783b407c85e0064fcc4432e7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5f1112b3783b407c85e0064fcc4432e72025-01-24T01:47:55ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-10-0121537710.3934/mbe.2005.2.53From Net Topology to Synchronization in HR Neuron GridsStefano Cosenza0Paolo Crucitti1Luigi Fortuna2Mattia Frasca3Manuela La Rosa4Cecilia Stagni5Lisa Usai6DIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaDIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaDIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaDIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaPST Group, Corporate R&D, STMicroelectronics, Catania site, Stradale Primosole 50, 95121 CataniaDIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaDIEES, University of Catania, Viale Andrea Doria 6, 95123, CataniaIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.53synchronizationelectrical and chemicalsynapserandom graph.small-world networkhindmarsh-rose neuronregular latticescale-free network |
| spellingShingle | Stefano Cosenza Paolo Crucitti Luigi Fortuna Mattia Frasca Manuela La Rosa Cecilia Stagni Lisa Usai From Net Topology to Synchronization in HR Neuron Grids Mathematical Biosciences and Engineering synchronization electrical and chemicalsynapse random graph. small-world network hindmarsh-rose neuron regular lattice scale-free network |
| title | From Net Topology to Synchronization in HR Neuron Grids |
| title_full | From Net Topology to Synchronization in HR Neuron Grids |
| title_fullStr | From Net Topology to Synchronization in HR Neuron Grids |
| title_full_unstemmed | From Net Topology to Synchronization in HR Neuron Grids |
| title_short | From Net Topology to Synchronization in HR Neuron Grids |
| title_sort | from net topology to synchronization in hr neuron grids |
| topic | synchronization electrical and chemicalsynapse random graph. small-world network hindmarsh-rose neuron regular lattice scale-free network |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.53 |
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