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Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems

Authorized Users Only
2011
Authors
Burić, Nikola
Grozdanović, Ines
Todorović, Kristina
Vasović, Nebojša
Article (Published version)
Metadata
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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 / Noise
Source:
Journal of Statistical Physics, 2011, 145, 1, 175-186
Publisher:
  • Springer, New York
Funding / projects:
  • Modeling and Numerical Simulations of Complex Many-Body Systems (RS-171017)

DOI: 10.1007/s10955-011-0316-6

ISSN: 0022-4715

WoS: 000297134800008

Scopus: 2-s2.0-80053121948
[ Google Scholar ]
4
2
URI
https://farfar.pharmacy.bg.ac.rs/handle/123456789/1505
Collections
  • Radovi istraživača / Researchers’ publications
Institution/Community
Pharmacy
TY  - 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 . .

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