Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems
Abstract
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.
Keywords:
Oscillations / Internal delay / External delay / Noise / Excitability / BifurcationSource:
International Journal of Non-Linear Mechanics, 2015, 73, 121-127Publisher:
- Pergamon-Elsevier Science Ltd, Oxford
Funding / projects:
DOI: 10.1016/j.ijnonlinmec.2014.11.010
ISSN: 0020-7462
WoS: 000355022100018
Scopus: 2-s2.0-84939999563
Collections
Institution/Community
PharmacyTY - JOUR AU - Grozdanović, Ines AU - Todorović, Kristina AU - Vasović, Nebojša AU - Burić, Nikola AU - Trisović, Nataša PY - 2015 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2469 AB - 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. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - International Journal of Non-Linear Mechanics T1 - Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems VL - 73 SP - 121 EP - 127 DO - 10.1016/j.ijnonlinmec.2014.11.010 ER -
@article{ author = "Grozdanović, Ines and Todorović, Kristina and Vasović, Nebojša and Burić, Nikola and Trisović, Nataša", year = "2015", abstract = "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.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "International Journal of Non-Linear Mechanics", title = "Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems", volume = "73", pages = "121-127", doi = "10.1016/j.ijnonlinmec.2014.11.010" }
Grozdanović, I., Todorović, K., Vasović, N., Burić, N.,& Trisović, N.. (2015). Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems. in International Journal of Non-Linear Mechanics Pergamon-Elsevier Science Ltd, Oxford., 73, 121-127. https://doi.org/10.1016/j.ijnonlinmec.2014.11.010
Grozdanović I, Todorović K, Vasović N, Burić N, Trisović N. Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems. in International Journal of Non-Linear Mechanics. 2015;73:121-127. doi:10.1016/j.ijnonlinmec.2014.11.010 .
Grozdanović, Ines, Todorović, Kristina, Vasović, Nebojša, Burić, Nikola, Trisović, Nataša, "Interplay between internal delays and coherent oscillations in delayed coupled noisy excitable systems" in International Journal of Non-Linear Mechanics, 73 (2015):121-127, https://doi.org/10.1016/j.ijnonlinmec.2014.11.010 . .