295 citations · 368 across the 8 of their papers we have counts for
14 papers
Real-time estimation of phase and amplitude with application to neural data
Michael Rosenblum, Arkady Pikovsky, Andrea A. Kühn +1
Computation of the instantaneous phase and amplitude via the Hilbert Transform is a powerful tool of data analysis. This approach finds many applications in various science and eng…
High-Order Phase Reduction for Coupled Oscillators
Erik Genge, Erik Teichmann, Michael Rosenblum +1
We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be intr…
Controlling collective synchrony in oscillatory ensembles by precisely timed pulses
Michael Rosenblum
We present an efficient technique for control of synchrony in a globally coupled ensemble by pulsatile action. We assume that we can observe the collective oscillation and can stim…
Reinforcement learning for suppression of collective activity in oscillatory ensembles
Dmitriy Krylov, Dmitry V. Dylov, Michael Rosenblum
We present a use of modern data-based machine learning approaches to suppress self-sustained collective oscillations typically signaled by ensembles of degenerative neurons in the…
Solitary States and Partial Synchrony in Oscillatory Ensembles with Attractive and Repulsive Interactions
Erik Teichmann, Michael Rosenblum
We numerically and analytically analyze transitions between different synchronous states in a network of globally coupled phase oscillators with attractive and repulsive interactio…
Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia
M. Rosenblum, M. Frühwirth, M. Moser +1
We develop a technique for the multivariate data analysis of perturbed self-sustained oscillators. The approach is based on the reconstruction of the phase dynamics model from obse…