Geodesic
Kinematic approach to the description of autowave processes in active media
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 440-447

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A phenomenological model for the description of autowave processes in excitable active media is formulated in the framework of the kinematic approach. A kinematic equation of evolution of the front of an autowave process in a two-dimensional active medium is derived. It is shown that stationary solutions of the evolution equation on a plane and on a sphere describe spiral waves. The dependence of the frequency of rotation of the spiral waves and radius of the core on the properties of the active medium is determined. 
@article{TMF_1988_74_3_a10,
     author = {P. K. Brazhnik and V. A. Davydov and A. S. Mikhailov},
     title = {Kinematic approach to the description of autowave processes in active media},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {440--447},
     publisher = {mathdoc},
     volume = {74},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a10/}
}
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P. K. Brazhnik; V. A. Davydov; A. S. Mikhailov. Kinematic approach to the description of autowave processes in active media. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 440-447. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a10/