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most citedDynamics of FitzHugh-Nagumo excitable systems with delayed coupling

121 citations · 370 across the 20 of their papers we have counts for

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nlin.CD2015★ 48 cited

Activation process in excitable systems with multiple noise sources: One and two interacting units

Igor Franović, Kristina Todorović, Matjaz Perc +2

We consider the coaction of two distinct noise sources on the activation process of a single and two interacting excitable units, which are mathematically described by the Fitzhugh…

nlin.CD2015★ 35 cited

Activation process in excitable systems with multiple noise sources: Large number of units

Igor Franović, Matjaz Perc, Kristina Todorović +2

We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to ex…

nlin.CD2014★ 9 cited

Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units

I. Franovic, K. Todorovic, N. Vasovic +1

We consider the approximations behind the typical mean-field model derived for a class of systems made up of type II excitable units influenced by noise and coupling delays. The fo…

nlin.CD2012★ 18 cited

Mean field approximation of two coupled populations of excitable units

I. Franovic, K. Todorovic, N. Vasovic +1

The analysis on stability and bifurcations in the macroscopic dynamics exhibited by the system of two coupled large populations comprised of stochastic excitable units each is…

nlin.CD2010★ 19 cited

Mean field approximation for noisy delay coupled excitable neurons

Nikola Buric, Dragana Rankovic, Kristina Todorovic +1

Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by stochastic de…

nlin.CD2003

Statistics of Poincar\' e recurrences for a class of smooth circle maps

Nikola Buric, Aldo Rampioni, Giorgio Turchetti

Statistics of Poincar\' e recurrence for a class of circle maps, including sub-critical, critical, and super-critical cases, are studied. It is shown how the topological difference…