2k citations · 2.2k across the 18 of their papers we have counts for
18 papers
A normal form for excitable media
Georg A. Gottwald, Lorenz Kramer
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-nod…
Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields
I. Sh. Nasibullayev, O. S. Tarasov, A. P. Krekhov +1
We study the homogeneous and the spatially periodic instabilities in a nematic liquid crystal layer subjected to steady plane {\em Couette} or {\em Poiseuille} flow. The initial di…
On propagation failure in 1 and 2 dimensional excitable media
Georg A. Gottwald, Lorenz Kramer
We present a non-perturbative technique to study pulse dynamics in excitable media. The method is used to study propagation failure in one-dimensional and two-dimensional excitable…
Dynamics of cholesteric structures in an electric field
O. S. Tarasov, A. P. Krekhov, L. Kramer
Motivated by Lehmann-like rotation phenomena in cholesteric drops we study the transverse drift of two types of cholesteric fingers, which form rotating spirals in thin layers of c…
Modulated structures in electroconvection in nematic liquid crystals
S. Komineas, H. Zhao, L. Kramer
Motivated by experiments in electroconvection in nematic liquid crystals with homeotropic alignment we study the coupled amplitude equations describing the formation of a stationar…
Transition to spatially periodic patterns in nematics under oscillatory shear flow: linear analysis
O. S. Tarasov, A. P. Krekhov, L. Kramer
We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director…