38 citations · 191 across the 14 of their papers we have counts for
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nlin.AO2022★ 34 cited
Exact finite-dimensional description for networks of globally coupled spiking neurons
Bastian Pietras, Rok Cestnik, Arkady Pikovsky
We consider large networks of globally coupled spiking neurons and derive an exact low-dimensional description of their collective dynamics in the thermodynamic limit. Individual n…
cond-mat.stat-mech2022★ 15 cited
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott-Antonsen and Watanabe-Strogatz theories
Rok Cestnik, Arkady Pikovsky
Populations of globally coupled phase oscillators are described in the thermodynamic limit by kinetic equations for the distribution densities, or equivalently, by infinite hierarc…
nlin.AO2022★ 7 cited
Inferring oscillator's phase and amplitude response from a scalar signal exploiting test stimulation
Rok Cestnik, Erik T. K. Mau, Michael Rosenblum
The phase sensitivity curve or phase response curve (PRC) quantifies the oscillator's reaction to stimulation at a specific phase and is a primary characteristic of a self-sustaine…