40 citations · 95 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
Control of transversal instabilities in reaction-diffusion systems
Sonja Molnos, Jakob Löber, Jan Frederik Totz +1
In two-dimensional reaction-diffusion systems, local curvature perturbations in the shape of traveling waves are typically damped out and disappear in the course of time. If, howev…
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…
Control of chemical wave propagation
Jakob Löber, Rhoslyn Coles, Julien Siebert +2
Using the Schlögl model as a paradigmatic example of a bistable reaction-diffusion system, we discuss some physically feasible options of open and closed loop spatio-temporal contr…
Controlling the position of traveling waves in reaction-diffusion systems
Jakob Löber, Harald Engel
We present a method to control the position as a function of time of one-dimensional traveling wave solutions to reaction-diffusion systems according to a pre-specified protocol of…
Analytical approximations for spiral waves
Jakob Löber, Harald Engel
We propose a non-perturbative attempt to solve the kinematic equations for spiral waves in excitable media. From the eikonal equation for the wave front we derive an implicit analy…