Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems

Numerical study of variations in coherence of spike trains produced by two stochastically perturbed FitzHugh–Nagumo excitable systems with internal and coupling time-delays is performed. Both, the internal time-delay and the interaction time-delay in some domains of values can substantially increase...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2015-07, Vol.73, p.121-127
Main Authors: Grozdanovic, Ines, Todorovic, Kristina, Vasovic, Nebojsa, Buric, Nikola, Trisovic, Natasa
Format: Article
Language:English
Subjects:
Bifurcation
Coherence
Delay
Excitability
Excitation
External delay
Internal delay
Joining
Noise
Oscillations
Probability theory
Spikes
Trains
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Summary:Numerical study of variations in coherence of spike trains produced by two stochastically perturbed FitzHugh–Nagumo excitable systems with internal and coupling time-delays is performed. Both, the internal time-delay and the interaction time-delay in some domains of values can substantially increase the coherence but the interplay of the two delays can also lead to quite incoherent spike trains. Numerically observed dependence of the coherence on the delays is qualitatively explained by considering the bifurcations in the system caused by the variations of the values of the internal and the interaction time-lags. •We study variations in coherence of spike trains produced by two stochastically perturbed FitzHugh–Nagumo excitable systems with internal and coupling time-delays.•Internal time-delay and the coupling time-delay in some domains of values can substantially increase or decrease the coherence.•Dependence of the coherence on the delays is qualitatively explained by considering the bifurcations in the system caused by them.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2014.11.010