Search Results - "Martens, Steffen"

Shaping wave patterns in reaction-diffusion systems by Löber, Jakob, Martens, Steffen, Engel, Harald

“…We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, such as, interfaces and excitation pulses…”
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The GUM perspective on straight-line errors-in-variables regression by Klauenberg, Katy, Martens, Steffen, Bošnjaković, Alen, Cox, Maurice G., van der Veen, Adriaan M.H., Elster, Clemens

“…Following the Guide to the expression of uncertainty in measurement (GUM), the slope and intercept in straight-line regression tasks can be estimated and their…”
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From Reaction-Diffusion Systems to Confined Brownian Motion by Martens, Steffen

“…In this note, we demonstrated for the first time that one can derive an expression for the effective diffusion coefficient, equal to the Lifson-Jackson…”
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Control of Nonlinear Wave Solutions to Neural Field Equations by Ziepke, Alexander, Martens, Steffen, Engel, Harald

“…Neural field equations offer a continuous description of the dynamics of large populations of synaptically coupled neurons. This makes them a convenient tool…”
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Control of traveling localized spots by Martens, Steffen, Ryll, Christopher, Löber, Jakob, Tröltzsch, Fredi, Engel, Harald

“…Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control…”
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Shaping wave patterns in reaction-diffusion systems by Löber, Jakob, Martens, Steffen, Engel, Harald

“…Phys. Rev. E 90, 062911 (2014) We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, as e.g…”
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Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems by Ryll, Christopher, Löber, Jakob, Martens, Steffen, Engel, Harald, Tröltzsch, Fredi

“…This work deals with the position control of selected patterns in reaction-diffusion systems. Exemplarily, the Schl\"{o}gl and FitzHugh-Nagumo model are…”
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Impact of inertia on biased Brownian transport in confined geometries by Martens, Steffen, Sokolov, Igor M, Schimansky-Geier, Lutz

“…Journal of Chemical Physics, 136, 111102 (2012) We consider the impact of inertia on biased Brownian motion of point particles in a two-dimensional channel…”
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Biased Brownian motion in extreme corrugated tubes by Martens, Steffen, Schmid, Gerhard, Schimansky-Geier, Lutz, Hänggi, Peter

“…Chaos 21 047518 (2011) Biased Brownian motion of point-size particles in a three-dimensional tube with smoothly varying cross-section is investigated. In the…”
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Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation by Martens, Steffen, Schmid, Gerhard, Schimansky-Geier, Lutz, Hänggi, Peter

“…Phys.Rev.E 83 (2011) 051135 Transport of point-size Brownian particles under the influence of a constant and uniform force field through a three-dimensional…”
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