426 citations · 3.8k across the 126 of their papers we have counts for
5 papers · 1 filter
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…
Stochastic bursting in unidirectionally delay-coupled noisy excitable systems
Chunming Zheng, Arkady Pikovsky
We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling a…
Spreading in Disordered Lattices with Different Nonlinearities
M. Mulansky, A. Pikovsky
We study the spreading of initially localized states in a nonlinear disordered lattice described by the nonlinear Schrödinger equation with random on-site potentials - a nonlinear…
Dynamical Thermalization of Disordered Nonlinear Lattices
Mario Mulansky, Karsten Ahnert, Arkady Pikovsky +1
We study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish…
Destruction of Anderson localization by a weak nonlinearity
A. S. Pikovsky, D. L. Shepelyansky
We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that above a certai…