Critical properties of autowaves propagating on deformed cylindrical surfaces
Abstract
Propagation of ring-shaped autowaves on deformed cylindrical surfaces is studied theoretically within a kinematical model. Theoretical results predict the existence of a critical deformation of the surface above which propagation of ring-shaped fronts is impossible and the structure of stable autowaves becomes similar to the so-called V-patterns with free ends. This prediction is confirmed by numerical simulations of a two-variable reaction-diffusion excitable medium on a torus.
- Publication:
-
Physics Letters A
- Pub Date:
- February 2003
- DOI:
- 10.1016/S0375-9601(02)01726-7
- Bibcode:
- 2003PhLA..307..265D