426 citations · 452 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2007★ 426 cited
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…
nlin.PS2007★ 18 cited
Mixing-induced global modes in open active flow
Arthur V. Straube, Arkady Pikovsky
We describe how a convectively unstable active field in an open flow configuration becomes absolutely unstable due to local mixing. A representation of the mixing region as those w…
nlin.PS2004★ 8 cited
Temporal chaos versus spatial mixing in reaction-advection-diffusion systems
Arthur V. Straube, Markus Abel, Arkady Pikovsky
We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the sta…