53 citations · 75 across the 3 of their papers we have counts for
6 papers
Antispiral waves are sources in oscillatory reaction-diffusion media
Ernesto M. Nicola, Lutz Brusch, Markus Baer
Spiral and antispiral waves are studied numerically in two examples of oscillatory reaction-diffusion media and analytically in the corresponding complex Ginzburg-Landau equation (…
Fold-Hopf Bursting in a Model for Calcium Signal Transduction
Lutz Brusch, Wolfram Lorenz, Michal Or-Guil +2
We study a recent model for calcium signal transduction. This model displays spiking, bursting and chaotic oscillations in accordance with experimental results. We calculate bifurc…
Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media
Lutz Brusch, Alessandro Torcini, Markus Baer
Nonlinear waves emitted from a moving source are studied. A meandering spiral in a reaction-diffusion medium provides an example, where waves originate from a source exhibiting a b…
Dewetting of thin films on heterogeneous substrates: Pinning vs. coarsening
Lutz Brusch, Heiko Kuehne, Uwe Thiele +1
We study a model for a thin liquid film dewetting from a periodic heterogeneous substrate (template). The amplitude and periodicity of a striped template heterogeneity necessary to…
Nonlinear Analysis of the Eckhaus Instability: Modulated Amplitude Waves and Phase Chaos with Non-zero Average Phase Gradient
Lutz Brusch, Alessandro Torcini, Markus Baer
We analyze the Eckhaus instability of plane waves in the one-dimensional complex Ginzburg-Landau equation (CGLE) and describe the nonlinear effects arising in the Eckhaus unstable…
Modulated Amplitude Waves and Defect Formation in the One-Dimensional Complex Ginzburg-Landau Equation
Lutz Brusch, Alessandro Torcini, Martin van Hecke +2
The transition from phase chaos to defect chaos in the complex Ginzburg-Landau equation (CGLE) is related to saddle-node bifurcations of modulated amplitude waves (MAWs). First, th…