113 citations · 379 across the 11 of their papers we have counts for
5 papers · 1 filter
Control of Nonlinear Wave Solutions to Neural Field Equations
Alexander Ziepke, Steffen Martens, Harald Engel
Neural field equations offer a continuous description of the dynamics of large populations of synaptically coupled neurons. This makes them a convenient tool to describe various ne…
Control of traveling localized spots
Steffen Martens, Christopher Ryll, Jakob Löber +2
Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control intended to guide a stab…
Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems
Christopher Ryll, Jakob Löber, Steffen Martens +2
This work deals with the position control of selected patterns in reaction-diffusion systems. Exemplarily, the Schlögl and FitzHugh-Nagumo model are discussed using three different…
Front propagation in three-dimensional corrugated reaction-diffusion media
S. Martens, J. Löber, H. Engel
Propagation of traveling fronts in three-dimensional reaction-diffusion media with spatially modulated cross-section is studied using the Schlögl model as a representative example.…
Shaping wave patterns in reaction-diffusion systems
Jakob Löber, Steffen Martens, Harald Engel
We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, as e.g. interfaces and excitation pulses. Control signals that r…