12 citations · 12 across the 1 of their papers we have counts for
7 papers
Pattern forming instability induced by light in pure and dye-doped nematic liquid crystals
D. O. Krimer, G. Demeter, L. Kramer
We study theoretically the instabilities induced by a linearly polarized ordinary light wave incident at a small oblique angle on a thin layer of homeotropically oriented nematic l…
Abnormal Rolls and Regular Arrays of Disclinations in Homeotropic Electroconvection
Axel G. Rossberg, Nandor Eber, Agnes Buka +1
We present the first quantitative verification of an amplitude description for systems with (nearly) spontaneously broken isotropy, in particular for the recently discovered abnorm…
Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation
S. Rudroff, H. Zhao, L. Kramer +1
A study of secondary instabilities in ac-driven electroconvection of a planarly aligned nematic liquid crystal is presented. At low frequencies one has a transition from normal rol…
The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices
I. S. Aranson, A. R. Bishop, L. Kramer
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 shown that a…
Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy
A. G. Rossberg, A. Hertrich, L. Kramer +1
Quasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotr…
Hole Solutions in the 1d Complex Ginzburg-Landau Equation
Stefan Popp, Olaf Stiller, Igor Aranson +1
The cubic Complex Ginzburg-Landau Equation (CGLE) has a one parameter family of traveling localized source solutions. These so called 'Nozaki-Bekki holes' are (dynamically) stable…