112 citations · 354 across the 14 of their papers we have counts for
17 papers
First-order synchronization transition in a large population of strongly coupled relaxation oscillators
Dumitru Călugăru, Jan Frederik Totz, Erik A. Martens +1
Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural n…
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…
Oscillatory motion of a droplet in an active poroelastic two-phase model
Dirk Alexander Kulawiak, Jakob Löber, Markus Bär +1
We investigate flow-driven amoeboid motility as exhibited by microplasmodia of Physarum polycephalum. A poroelastic two-phase model with rigid boundaries is extended to the case of…
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…