426 citations · 3.8k across the 126 of their papers we have counts for
14 papers · 1 filter
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Sergey P. Kuznetsov, Arkady Pikovsky, Michael Rosenblum
We study chaotic behavior of order parameters in two coupled ensembles of self-sustained oscillators. Coupling within each of these ensembles is switched on and off alternately, wh…
Network reconstruction from random phase-resetting
Zoran Levnajić, Arkady Pikovsky
We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneo…
Attractor of Smale - Williams type in an autonomous time-delay system
Sergey P. Kuznetsov, Arkady Pikovsky
We propose an example of smooth autonomous system governed by differential delay equation manifesting chaotic dynamics apparently associated with hyperbolic attractor of Smale - Wi…
Pattern Formation Induced by Time-Dependent Advection
A. V. Straube, A. Pikovsky
We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially per…
Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices
Arkady Pikovsky, Shmuel Fishman
The Discrete Nonlinear Schroedinger Equation with a random potential in one dimension is studied as a dynamical system. It is characterized by the length, the strength of the rando…
Phase resetting of collective rhythm in ensembles of oscillators
Zoran Levnajić, Arkady Pikovsky
Phase resetting curves characterize the way a system with a collective periodic behavior responds to perturbations. We consider globally coupled ensembles of Sakaguchi-Kuramoto osc…