Zero-Lag Synchronization Despite Inhomogeneities in a Relay System
A novel proposal for the zero-lag synchronization of the delayed coupled neurons, is to connect them indirectly via a third relay neuron. In this study, we develop a Poincaré map to investigate the robustness of the synchrony in such a relay system against inhomogeneity in the neurons and synaptic p...
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| Format: | Online |
| Language: | English |
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Public Library of Science
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4259331/ |
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pubmed-4259331 |
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pubmed-42593312014-12-15 Zero-Lag Synchronization Despite Inhomogeneities in a Relay System Ghasemi Esfahani, Zahra Valizadeh, Alireza Research Article A novel proposal for the zero-lag synchronization of the delayed coupled neurons, is to connect them indirectly via a third relay neuron. In this study, we develop a Poincaré map to investigate the robustness of the synchrony in such a relay system against inhomogeneity in the neurons and synaptic parameters. We show that when the inhomogeneity does not violate the symmetry of the system, synchrony is maintained and in some cases inhomogeneity enhances synchrony. On the other hand if the inhomogeneity breaks the symmetry of the system, zero lag synchrony can not be preserved. In this case we give analytical results for the phase lag of the spiking of the neurons in the stable state. Public Library of Science 2014-12-08 /pmc/articles/PMC4259331/ /pubmed/25486522 http://dx.doi.org/10.1371/journal.pone.0112688 Text en © 2014 Ghasemi Esfahani, Valizadeh http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Ghasemi Esfahani, Zahra Valizadeh, Alireza |
| spellingShingle |
Ghasemi Esfahani, Zahra Valizadeh, Alireza Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| author_facet |
Ghasemi Esfahani, Zahra Valizadeh, Alireza |
| author_sort |
Ghasemi Esfahani, Zahra |
| title |
Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| title_short |
Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| title_full |
Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| title_fullStr |
Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| title_full_unstemmed |
Zero-Lag Synchronization Despite Inhomogeneities in a Relay System |
| title_sort |
zero-lag synchronization despite inhomogeneities in a relay system |
| description |
A novel proposal for the zero-lag synchronization of the delayed coupled neurons, is to connect them indirectly via a third relay neuron. In this study, we develop a Poincaré map to investigate the robustness of the synchrony in such a relay system against inhomogeneity in the neurons and synaptic parameters. We show that when the inhomogeneity does not violate the symmetry of the system, synchrony is maintained and in some cases inhomogeneity enhances synchrony. On the other hand if the inhomogeneity breaks the symmetry of the system, zero lag synchrony can not be preserved. In this case we give analytical results for the phase lag of the spiking of the neurons in the stable state. |
| publisher |
Public Library of Science |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4259331/ |
| _version_ |
1613165175273160704 |