So far, I have studied these problems mostly from the perspective of population dynamics for non-autonomous oscillators with or without homogeneous delays, and mean frequencies of populations in general. Additionally, I have been involved in the analysis of EEG signals using different time-frequency and statistical methods, with emphasis on non-stationarity.
At the moment my research is focused on investigating the influence of spatial distribution of multimodal time-delays in the Kuramoto model, and the implications for large-scale brain dynamics. This is part of my ongoing project about modeling aging brain.
List of peer-reviewed journal publications:
M. Barabash, S. Petkoski, A. Stefanovska, “Homogeneous delays in the Kuramoto model with time-variable parameters”, Phys. Rev. E. 90, 052903, 2014.
S. Petkoski, D. Iatsenko, L. Basnarkov, A. Stefanovska. “Mean-field and meanensemble frequencies of a system of coupled oscillators”, Phys. Rev. E. 87, 032908, 2013.
D. Iatsenko, S. Petkoski, P. V. E. McClintock, A. Stefanovska. “Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths”, Phys. Rev. Lett. 110, 064101, 2013.
L. W. Sheppard, A. C. Hale, S. Petkoski, P. V. E. McClintock, A. Stefanovska, “Characterizing an ensemble of interacting oscillators: the mean-field variability index”, Phys. Rev. E. 87, 012905, 2013.
S. Petkoski, A. Stefanovska, “Kuramoto model with time-varying parameters”, Phys. Rev. E. 86, 046212, 2012.