113 citations · 379 across the 11 of their papers we have counts for
13 papers
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…
Giant enhancement of hydrodynamically enforced entropic trapping in thin channels
S. Martens, A. V. Straube, G. Schmid +2
Using our generalized Fick-Jacobs approach [Martens et al., PRL 110, 010601 (2013); Martens et al., Eur. Phys. J. Spec. Topics 222, 2453-2463 (2013)] and extensive Brownian dynamic…
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…