10 citations · 12 across the 5 of their papers we have counts for
5 papers
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
Raphael Gerlach, Sören von der Gracht, Michael Dellnitz
In this article, we investigate the convergence behavior of two classes of gathering protocols with fixed circulant topologies using tools from dynamical systems. Given a fixed num…
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
Raphael Gerlach, Péter Koltai, Michael Dellnitz
Embedding techniques allow the approximations of finite dimensional attractors and manifolds of infinite dimensional dynamical systems via subdivision and continuation methods. The…
A set-oriented path following method for the approximation of parameter dependent attractors
R. Gerlach, A. Ziessler, B. Eckhardt +1
In this work we present a set-oriented path following method for the computation of relative global attractors of parameter-dependent dynamical systems. We start with an initial ap…
On the Equivariance Properties of Self-adjoint Matrices
Michael Dellnitz, Bennet Gebken, Raphael Gerlach +1
We investigate self-adjoint matrices with respect to their equivariance properties. We show in particular that a matrix is self-adjoint if and only if it is…
The numerical computation of unstable manifolds for infinite dimensional dynamical systems by embedding techniques
Adrian Ziessler, Michael Dellnitz, Raphael Gerlach
In this work we extend the novel framework developed by Dellnitz, Hessel-von Molo and Ziessler to the computation of finite dimensional unstable manifolds of infinite dimensional d…