2k citations · 7k across the 70 of their papers we have counts for
4 papers · 1 filter
Spiral Motion in a Noisy Complex Ginzburg-Landau Equation
Igor Aranson, Hugues Chate, Lei Han Tang
The response of spiral waves to external perturbations in a stable regime of the two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It is shown that the spira…
Stretching of vortex lines and generation of vorticity in the three-dimensional complex Ginzburg-Landau Equation
Igor Aranson, Alan Bishop
The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is proved that a…
Localized and Cellular Patterns in a Vibrated Granular Layer
Lev Tsimring, Igor Aranson
We propose a phenomenological model for pattern formation in a vertically vibrated layer of granular material. This model exhibits a variety of stable cellular patterns including s…
Evolution on a Rugged Landscape:Pinning and Aging
Igor Aranson, Lev Tsimring, Valerii Vinokur
Population dynamics on a rugged landscape is studied analytically and numerically within a simple discrete model for evolution of N individuals in one-dimensional fitness space. We…