103 citations · 180 across the 18 of their papers we have counts for
20 papers
Angular maps for visualizing rotational dynamics
Wolf-Jürgen Beyn, Thorsten Hüls
We develop and analyze angular maps as a numerical tool for visualizing and detecting rotational dynamics in nonlinear, nonautonomous dynamical systems in discrete and continuous t…
On generalized metrics of Vandermonde type
Wolf-Jürgen Beyn
In a series of papers in the 1960's, S. Gähler defined and investigated so-called m-metric spaces and their topological properties. An m-metric assigns to any tuple of m+1 elements…
Algebraic rates of stability for front-type modulated waves in Ginzburg Landau equations
Wolf-Jürgen Beyn, Christian Döding
We consider the stability of front-type modulated waves in the complex Ginzburg-Landau equation (CGL). The waves occur in the bistable regime (e.g. of the quintic CGL) and connect…
On a generalized notion of metrics
Wolf-Jürgen Beyn
In these notes we generalize the notion of a (pseudo) metric measuring the distance of two points, to a (pseudo) n-metric which assigns a value to a tuple of n points. We present t…
Smoothness properties of principal angles between subspaces with applications to angular values of dynamical systems
Wolf-Jürgen Beyn, Thorsten Hüls
In this work we provide detailed estimates of maximal principal angles between subspaces and we analyze their smoothness for smoothly varying subspaces. This leads to a new definit…
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations
Wolf-Jürgen Beyn, Christian Döding
Traveling oscillating fronts (TOFs) are specific waves of the form with a profile which decays at but approaches…