37 citations · 107 across the 8 of their papers we have counts for
4 papers · 1 filter
Expanding scroll rings in a model for the photosensitive Belousov-Zhabotinsky reaction
Arash Azhand, Rico Buchholz, Jan F. Totz +1
While free scroll rings are non-stationary objects that either grow or contract with time, spatial confinement can have a large impact on their evolution reaching from significant…
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…
No-flux boundaries stabilize scroll rings in excitable media with negative filament tension
Arash Azhand, Rico Buchholz, Florian Buchholz +2
Scroll rings in an unbounded excitable medium with negative line tension undergo an instability ending eventually in a "turbulent" state, known as scroll wave (Winfree) turbulence.…
Spatial Confinement Causes Lifetime Enhancement and Expansion of Vortex Rings with Positive Filament Tension
Jan F. Totz, Harald Engel, Oliver Steinbock
We study the impact of spatial confinement on the dynamics of three-dimensional excitation vortices with circular filaments. In a chemically active medium we observe a decreased co…