103 citations · 180 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
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…
Angular Values of Nonautonomous Linear Dynamical Systems: Part II -Reduction Theory and Algorithm
Wolf-Jürgen Beyn, Thorsten Hüls
This work focuses on angular values of nonautonomous dynamical systems which have been introduced for general random and (non)autonomous dynamical systems in a previous publication…
Angular values of nonautonomous and random linear dynamical systems: Part I -- Fundamentals
Wolf-Jürgen Beyn, Gary Froyland, Thorsten Hüls
We introduce the notion of angular values for deterministic linear difference equations and random linear cocycles. We measure the principal angles between subspaces of fixed dimen…
Continuation and collapse of homoclinic tangles
Wolf-Juergen Beyn, Thorsten Huels
By a classical theorem transversal homoclinic points of maps lead to shift dynamics on a maximal invariant set, also referred to as a homoclinic tangle. In this paper we study the…