1.5k citations · 2.8k across the 38 of their papers we have counts for
38 papers
Cluster dynamics in a two-group Stuart-Landau model analyzed by the second-order phase reduction
Yernur Baibolatov, Oleh E. Omel'chenko, Michael Rosenblum
We analyze cluster states in an ensemble of Stuart-Landau oscillators with two subpopulations of different frequencies. Our main goal is to compare the descriptions of the system's…
Inferring collective synchrony observing spiking of one or several neurons
Arkady Pikovsky, Michael Rosenblum
We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony…
A unified quantification of synchrony in globally coupled populations with the Wiener order parameter
Arkady Pikovsky, Michael Rosenblum
We tackle the quantification of synchrony in globally coupled populations. Furthermore, we treat the problem of incomplete observations when the population mean field is unavailabl…
Phase reduction explains chimera shape: when multi-body interaction matters
Erik T. K. Mau, Oleh E. Omel'chenko, Michael Rosenblum
We present an extension of the Kuramoto-Sakaguchi model for networks, deriving the second-order phase approximation for a paradigmatic model of oscillatory networks - an ensemble o…
High-order phase reduction for coupled 2D oscillators
Erik T. K. Mau, Michael Rosenblum, Arkady Pikovsky
Phase reduction is a general approach to describe coupled oscillatory units in terms of their phases, assuming that the amplitudes are enslaved. For such a reduction, the coupling…
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…
Optimizing charge-balanced pulse stimulation for desynchronization
Erik T. K. Mau, Michael Rosenblum
Collective synchronization in a large population of self-sustained units appears both in natural and engineered systems. Sometimes this effect is in demand, while in some cases, it…
Two Mechanisms of Remote Synchronization in a Chain of Stuart-Landau Oscillators
Mohit Kumar, Michael Rosenblum
Remote synchronization implies that oscillators interacting not directly but via an additional unit (hub) adjust their frequencies and exhibit frequency locking while the hub remai…
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 Framework for Deep Brain Stimulation Study
Dmitrii Krylov, Remi Tachet, Romain Laroche +2
Malfunctioning neurons in the brain sometimes operate synchronously, reportedly causing many neurological diseases, e.g. Parkinson's. Suppression and control of this collective syn…
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…
Nonlinear phase coupling functions: a numerical study
M. Rosenblum, A. Pikovsky
Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here we explore the phase coupling functions beyond the usual first-ord…
Numerical phase reduction beyond the first order approximation
Michael Rosenblum, Arkady Pikovsky
We develop a numerical approach to reconstruct the phase dynamics of driven or coupled self-sustained oscillators. Employing a simple algorithm for computation of the phase of a pe…
Inferring the phase response curve from observation of a continuously perturbed oscillator
Rok Cestnik, Michael Rosenblum
Phase response curves are important for analysis and modeling of oscillatory dynamics in various applications, particularly in neuroscience. Standard experimental technique for det…
Disentangling Respiratory Sinus Arrhythmia in Heart Rate Variability Records
Çağdaş Topçu, Matthias Frühwirth, Maximilian Moser +2
Different measures of heart rate variability and particularly of respiratory sinus arrhythmia are widely used in research and clinical applications. Inspired by the ideas from the…
Synchronization in Kuramoto-Sakaguchi ensembles with competing influence of common noise and global coupling
D. S. Goldobin, A. V. Dolmatova, M. Rosenblum +1
We study the effects of synchronization and desynchronization in ensembles of phase oscillators with the global Kuramoto-Sakaguchi coupling under common noise driving. Since the me…
Reconstructing networks of pulse-coupled oscillators from spike trains
Rok Cestnik, Michael Rosenblum
We present an approach for reconstructing networks of pulse-coupled neuron-like oscillators from passive observation of pulse trains of all nodes. It is assumed that units are desc…
Two types of quasiperiodic partial synchrony in oscillator ensembles
Michael Rosenblum, Arkady Pikovsky
We analyze quasiperiodic partially synchronous states in an ensemble of Stuart-Landau oscillators with global nonlinear coupling. We reveal two types of such dynamics: in the first…
A minimal model of partial synchrony
Pau Clusella Cobero, Antonio Politi, Michael Rosenblum
We show that self-consistent partial synchrony in globally coupled oscillatory ensembles is a general phenomenon. We analyze in detail appearance and stability properties of this s…
Interplay of coupling and common noise at the transition to synchrony in oscillator populations
Anastasiya V. Pimenova, Denis S. Goldobin, Michael Rosenblum +1
We consider a population of globally coupled oscillators driven by common noise. By applying the Ott-Antonsen ansatz and by averaging over the fast oscillations, we obtain analytic…