426 citations · 3.8k across the 126 of their papers we have counts for
7 papers · 1 filter
Spreading of energy in the Ding-Dong Model
S. Roy, A. Pikovsky
We study properties of energy spreading in a lattice of elastically colliding harmonic oscillators (Ding-Dong model). We demonstrate that in the regular lattice the spreading from…
Optimal Phase Description of Chaotic Oscillators
Justus T. C. Schwabedal, Arkady Pikovsky, Björn Kralemann +1
We introduce an optimal phase description of chaotic oscillations by generalizing the concept of isochrones. On chaotic attractors possessing a general phase description, we define…
Dynamics of multi-frequency oscillator ensembles with resonant coupling
S. Lück, A. Pikovsky
We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase m…
Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems
Mario Mulansky, Karsten Ahnert, Arkady Pikovsky +1
We study properties of chaos in generic one-dimensional nonlinear Hamiltonian lattices comprised of weakly coupled nonlinear oscillators, by numerical simulations of continuous-tim…
Reconstructing phase dynamics of oscillator networks
Björn Kralemann, Arkady Pikovsky, Michael Rosenblum
We generalize our recent approach to reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E, 77, 066205 (2008)] to cover the case of s…
Effects of non-resonant interaction in ensembles of phase oscillators
Maxim Komarov, Arkady Pikovsky
We consider general properties of groups of interacting oscillators, for which the natural frequencies are not in resonance. Such groups interact via non-oscillating collective var…