426 citations · 3.8k across the 126 of their papers we have counts for
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Scaling of energy spreading in a disordered Ding-Dong lattice
A. Pikovsky
We study numerically propagation of energy in a one dimensional Ding-Ding lattice, composed of linear oscillators with ellastic collisions. Wave propagation is suppressed by breaki…
Low-Dimensional Dynamics for Higher Order Harmonic Globally Coupled Phase Oscillator Ensemble
Chen Chris Gong, Arkady Pikovsky
The Kuramoto model, despite its popularity as a mean-field theory for many synchronization phenomenon of oscillatory systems, is limited to a first-order harmonic coupling of phase…
Blinking chimeras in globally coupled rotators
Richard Janis Goldschmidt, Arkady Pikovsky, Antonio Politi
In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms…
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…
Stabilization of direct numerical simulation for finite truncations of circular cumulant expansions
Irina V. Tyulkina, Denis S. Goldobin, Arkady Pikovsky
We study a numerical instability of direct simulations with truncated equation chains for the "circular cumulant" representation and two approaches to its suppression. The approach…