51 citations · 168 across the 26 of their papers we have counts for
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The impact of advection on large-wavelength stability of stripes near planar Turing instabilities
Jichen Yang, Jens D. M. Rademacher, Eric Siero
It is well known that for reaction-diffusion systems with differential isotropic diffusions, a Turing instability yields striped solutions. In this paper we study the impact of wea…
Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates
Jichen Yang, Jens D. M. Rademacher
The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulting equations feature a spatial…
Inhomogeneous domain walls in spintronic nanowires
Lars Siemer, Ivan Ovsyannikov, Jens D. M. Rademacher
In case of a spin-polarized current, the magnetization dynamics in nanowires are governed by the classical Landau-Lifschitz equation with Gilbert damping term, augmented by a typic…
Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata
Marc Kesseböhmer, Jens D. M. Rademacher, Dennis Ulbrich
In this paper we analyse the non-wandering set of 1D-Greenberg-Hastings cellular automata models for excitable media with excited and refractory state…
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
Martina Chirilus-Bruckner, Peter van Heijster, Hideo Ikeda +1
This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum…