Effects of shear flows on nonlinear waves in excitable media.
If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wavetrains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, whilst the breaking of repetitive wavetrains happens for arbitrarily small velocity gradients. Since broken waves evolve into new spiral wave sources, this leads to spatio-temporal irregularity.
School of Biomedical Sciences, University of Leeds, Leeds, LS2 9JT UK.
V N
VN
Biktashev
I V
IV
Biktasheva
A V
AV
Holden
M A
MA
Tsyganov
J
J
Brindley
N A
NA
Hill
Advection; Autowave; Excitable medium; Frazzle gas; Plankton dynamics; Reaction-diffusionsystem; Shear flow; Spiral wave; Wave breakdown