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...

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Bibliographic Details
Published inPhysics letters. A Vol. 307; no. 5; pp. 265 - 268
Main Authors Davydov, V.A., Morozov, V.G., Davydov, N.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.02.2003
Subjects
Autowaves in excitable media
Autowaves on curved surfaces
Nonlinear dynamics
05.70.Ln
Nonlinear dynamics
Autowaves on curved surfaces
05.50.+q
82.40.-g
Autowaves in excitable media
87.10.+e
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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