Coherent oscillations in minimal neural network of excitable systems induced by noise and influenced by time delay
Influence of small time-delays in coupling between noisy excitable systems on the coherence resonance and self-induced stochastic resonance is studied. Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for...
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| creator | Vasovic, N. Buric, N. Grozdanovic, I. Todorovic, K. Samcovic, A. |
| description | Influence of small time-delays in coupling between noisy excitable systems on the coherence resonance and self-induced stochastic resonance is studied. Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for any value of the coupling and the time-lag. Addition of white noise induces qualitatively different types of coherent oscillations, and we analyzed the influence of coupling time-delay on the properties of these coherent oscillations. The main conclusion is that time-lag τ ≥ 1, but still smaller than the refractory period, and sufficiently strong coupling drastically change signal-to-noise ratio in the quantitative and qualitative way. An interval of noise values implies quite large signal to noise ratio and different types of noise induced coherence are greatly enhanced. We also observed coincident spiking for small noise intensity and time-lag proportional to the inter-spike interval of the coherent spike trains. On the other hand, time-lags τ |
| doi_str_mv | 10.1109/NEUREL.2012.6419957 |
| format | Conference Proceeding |
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Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for any value of the coupling and the time-lag. Addition of white noise induces qualitatively different types of coherent oscillations, and we analyzed the influence of coupling time-delay on the properties of these coherent oscillations. The main conclusion is that time-lag τ ≥ 1, but still smaller than the refractory period, and sufficiently strong coupling drastically change signal-to-noise ratio in the quantitative and qualitative way. An interval of noise values implies quite large signal to noise ratio and different types of noise induced coherence are greatly enhanced. We also observed coincident spiking for small noise intensity and time-lag proportional to the inter-spike interval of the coherent spike trains. On the other hand, time-lags τ <; 1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence.</description><identifier>ISBN: 9781467315692</identifier><identifier>ISBN: 1467315699</identifier><identifier>EISBN: 9781467315722</identifier><identifier>EISBN: 1467315729</identifier><identifier>EISBN: 9781467315715</identifier><identifier>EISBN: 1467315710</identifier><identifier>DOI: 10.1109/NEUREL.2012.6419957</identifier><language>eng</language><publisher>IEEE</publisher><subject>Coherence ; Couplings ; Delay ; Mathematical model ; Neurons ; Noise ; Oscillators ; Stochastic processes</subject><ispartof>11th Symposium on Neural Network Applications in Electrical Engineering, 2012, p.35-39</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6419957$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6419957$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Vasovic, N.</creatorcontrib><creatorcontrib>Buric, N.</creatorcontrib><creatorcontrib>Grozdanovic, I.</creatorcontrib><creatorcontrib>Todorovic, K.</creatorcontrib><creatorcontrib>Samcovic, A.</creatorcontrib><title>Coherent oscillations in minimal neural network of excitable systems induced by noise and influenced by time delay</title><title>11th Symposium on Neural Network Applications in Electrical Engineering</title><addtitle>NEUREL</addtitle><description>Influence of small time-delays in coupling between noisy excitable systems on the coherence resonance and self-induced stochastic resonance is studied. Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for any value of the coupling and the time-lag. Addition of white noise induces qualitatively different types of coherent oscillations, and we analyzed the influence of coupling time-delay on the properties of these coherent oscillations. The main conclusion is that time-lag τ ≥ 1, but still smaller than the refractory period, and sufficiently strong coupling drastically change signal-to-noise ratio in the quantitative and qualitative way. An interval of noise values implies quite large signal to noise ratio and different types of noise induced coherence are greatly enhanced. We also observed coincident spiking for small noise intensity and time-lag proportional to the inter-spike interval of the coherent spike trains. On the other hand, time-lags τ <; 1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence.</description><subject>Coherence</subject><subject>Couplings</subject><subject>Delay</subject><subject>Mathematical model</subject><subject>Neurons</subject><subject>Noise</subject><subject>Oscillators</subject><subject>Stochastic processes</subject><isbn>9781467315692</isbn><isbn>1467315699</isbn><isbn>9781467315722</isbn><isbn>1467315729</isbn><isbn>9781467315715</isbn><isbn>1467315710</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpNUMtKAzEUjYigaL-gm_xAax7NZLKUUh9QFMSuy01yg9FMRiYpOn_vqF24OpwHB84hZM7ZknNmrh83u-fNdikYF8tmxY1R-oTMjG75qtGSKy3E6X_eGHFOZqW8McamgkYafUGGdf-KA-ZK--JiSlBjnwuNmXYxxw4SzXgYfqF-9sM77QPFLxcr2IS0jKVi9xP3B4ee2pHmPhakkP0khnTAfNRr7JB6TDBekbMAqeDsiJdkd7t5Wd8vtk93D-ub7SJyreqildZKRA1BKtnaoHwL2nnROGah0SCCYyD85CklQKF1QWjjOQNtICDKSzL_642IuP8YpjXDuD8-Jb8BPZFgHw</recordid><startdate>201209</startdate><enddate>201209</enddate><creator>Vasovic, N.</creator><creator>Buric, N.</creator><creator>Grozdanovic, I.</creator><creator>Todorovic, K.</creator><creator>Samcovic, A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201209</creationdate><title>Coherent oscillations in minimal neural network of excitable systems induced by noise and influenced by time delay</title><author>Vasovic, N. ; Buric, N. ; Grozdanovic, I. ; Todorovic, K. ; Samcovic, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-83bb3ee7af3538bf5d8a7cd26c0ba67a2fc0a2d538552a5ebcf279d10a79afee3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Coherence</topic><topic>Couplings</topic><topic>Delay</topic><topic>Mathematical model</topic><topic>Neurons</topic><topic>Noise</topic><topic>Oscillators</topic><topic>Stochastic processes</topic><toplevel>online_resources</toplevel><creatorcontrib>Vasovic, N.</creatorcontrib><creatorcontrib>Buric, N.</creatorcontrib><creatorcontrib>Grozdanovic, I.</creatorcontrib><creatorcontrib>Todorovic, K.</creatorcontrib><creatorcontrib>Samcovic, A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vasovic, N.</au><au>Buric, N.</au><au>Grozdanovic, I.</au><au>Todorovic, K.</au><au>Samcovic, A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Coherent oscillations in minimal neural network of excitable systems induced by noise and influenced by time delay</atitle><btitle>11th Symposium on Neural Network Applications in Electrical Engineering</btitle><stitle>NEUREL</stitle><date>2012-09</date><risdate>2012</risdate><spage>35</spage><epage>39</epage><pages>35-39</pages><isbn>9781467315692</isbn><isbn>1467315699</isbn><eisbn>9781467315722</eisbn><eisbn>1467315729</eisbn><eisbn>9781467315715</eisbn><eisbn>1467315710</eisbn><abstract>Influence of small time-delays in coupling between noisy excitable systems on the coherence resonance and self-induced stochastic resonance is studied. Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for any value of the coupling and the time-lag. Addition of white noise induces qualitatively different types of coherent oscillations, and we analyzed the influence of coupling time-delay on the properties of these coherent oscillations. The main conclusion is that time-lag τ ≥ 1, but still smaller than the refractory period, and sufficiently strong coupling drastically change signal-to-noise ratio in the quantitative and qualitative way. An interval of noise values implies quite large signal to noise ratio and different types of noise induced coherence are greatly enhanced. We also observed coincident spiking for small noise intensity and time-lag proportional to the inter-spike interval of the coherent spike trains. 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| ispartof | 11th Symposium on Neural Network Applications in Electrical Engineering, 2012, p.35-39 |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Coherence Couplings Delay Mathematical model Neurons Noise Oscillators Stochastic processes |
| title | Coherent oscillations in minimal neural network of excitable systems induced by noise and influenced by time delay |
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