1.5k citations · 2.8k across the 38 of their papers we have counts for
14 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
Dynamics of globally coupled oscillators: progress and perspectives
Arkady Pikovsky, Michael Rosenblum
In this paper we discuss recent progress in research of ensembles of mean field coupled oscillators. Without an ambition to present a comprehensive review, we outline most interest…
On the equivalence of phase-oscillator and integrate-and-fire models
Antonio Politi, Michael Rosenblum
A quantitative comparison of various classes of oscillators (integrate-and-fire, Winfree, and Kuramoto-Daido type) is performed in the weak-coupling limit for a fully connected net…
Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
Yuri Maistrenko, Bogdan Penkovsky, Michael Rosenblum
We discuss the desynchronization transition in networks of globally coupled identical oscillators with attractive and repulsive interactions. We show that, if attractive and repuls…
Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback
Ghazal Montaseri, Mohammad Javad Yazdanpanah, Arkady Pikovsky +1
Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several ci…
Partially integrable dynamics of ensembles of nonidentical oscillators
Arkady Pikovsky, Michael Rosenblum
We consider ensembles of sine-coupled phase oscillators consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the Wat…
Partially integrable dynamics of hierarchical populations of coupled oscillators
Arkady Pikovsky, Michael Rosenblum
We consider oscillator ensembles consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the Watanabe-Strogatz ansatz w…