Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems
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 tau >= 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 o...f the coherent spike trains. On the other hand, time-lags tau lt 1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence.
Keywords:
Neurons / Delay / NoiseSource:
Journal of Statistical Physics, 2011, 145, 1, 175-186Publisher:
- Springer, New York
Funding / projects:
DOI: 10.1007/s10955-011-0316-6
ISSN: 0022-4715
WoS: 000297134800008
Scopus: 2-s2.0-80053121948
Collections
Institution/Community
PharmacyTY - JOUR AU - Burić, Nikola AU - Grozdanović, Ines AU - Todorović, Kristina AU - Vasović, Nebojša PY - 2011 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1505 AB - 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 tau >= 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 tau lt 1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence. PB - Springer, New York T2 - Journal of Statistical Physics T1 - Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems VL - 145 IS - 1 SP - 175 EP - 186 DO - 10.1007/s10955-011-0316-6 ER -
@article{ author = "Burić, Nikola and Grozdanović, Ines and Todorović, Kristina and Vasović, Nebojša", year = "2011", 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 tau >= 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 tau lt 1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence.", publisher = "Springer, New York", journal = "Journal of Statistical Physics", title = "Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems", volume = "145", number = "1", pages = "175-186", doi = "10.1007/s10955-011-0316-6" }
Burić, N., Grozdanović, I., Todorović, K.,& Vasović, N.. (2011). Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems. in Journal of Statistical Physics Springer, New York., 145(1), 175-186. https://doi.org/10.1007/s10955-011-0316-6
Burić N, Grozdanović I, Todorović K, Vasović N. Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems. in Journal of Statistical Physics. 2011;145(1):175-186. doi:10.1007/s10955-011-0316-6 .
Burić, Nikola, Grozdanović, Ines, Todorović, Kristina, Vasović, Nebojša, "Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems" in Journal of Statistical Physics, 145, no. 1 (2011):175-186, https://doi.org/10.1007/s10955-011-0316-6 . .