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

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2011
Authors
Burić, Nikola
Grozdanović, Ines
Todorović, Kristina
Vasović, Nebojša
Article (Published version)
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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
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
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URI
http://farfar.pharmacy.bg.ac.rs/handle/123456789/1505
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  • Radovi istraživača / Researchers’ publications
Institution
Pharmacy

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