28 citations · 41 across the 5 of their papers we have counts for
7 papers
Travelling front solutions in a spatially heterogeneous reaction-diffusion system
M. Chirilus-Bruckner, L. van Vianen, F. Veerman
We investigate a two-component reaction-diffusion system with a slow-fast structure and spatially varying coefficients and appearing in the slow equation. Under mild bo…
Pattern formation in a Swift-Hohenberg equation with spatially periodic coefficients
Jolien Kamphuis, Martina Chirilus-Bruckner
We study the Swift-Hohenberg equation - a paradigm model for pattern formation - with "large" spatially periodic coefficients and find a Turing bifurcation that generates patterns…
Stability of Breathers for a Periodic Klein-Gordon Equation
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
The existence of breather type solutions, i.e., periodic in time, exponentially localized in space solutions, is a very unusual feature for continuum, nonlinear wave type equations…
Chaotic motion and singularity structures of front solutions in multi-component FitzHugh-Nagumo-type systems
Martina Chirilus-Bruckner, Peter van Heijster, Jens D. M. Rademacher
We study the dynamics of front solutions in a certain class of multi-component reaction-diffusion systems, where one fast component governed by an Allen-Cahn equation is weakly cou…
The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation
Olfa Jaibi, Arjen Doelman, Martina Chirilus-Bruckner +1
In this paper we consider the 2-component reaction-diffusion model that was recently obtained by a systematic reduction of the 3-component Gilad et al. model for dryland ecosystem…
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…
Pulse solutions for an extended Klausmeier model with spatially varying coefficients
Robbin Bastiaansen, Martina Chirilus-Bruckner, Arjen Doelman
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly perturbed reaction-advection-diffusion equation with spatially varying coefficients.…