Critical properties of autowaves propagating on deformed cylindrical surfaces
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 autowa...
Saved in:
Published in | Physics letters. A Vol. 307; no. 5; pp. 265 - 268 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
10.02.2003
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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. |
---|---|
ISSN: | 0375-9601 1873-2429 |
DOI: | 10.1016/S0375-9601(02)01726-7 |