Waves of constant shape and the structure of the "rotors boundary" in excitable media.

Yu. E. Elkin, V. N. Biktashev, A. V. Holden

Submitted to PRE: Jan 24, 2000. Referee reports obtained: Apr 26, 2001. Submitted to CSF: May 22, 2001. Accepted to CSF: June 15, 2001. Published: CSF 14, 385-395, 2002

We classify possible fixed-shaped excitation wave patterns in R^2, in terms of the kinematic approach. These patterns include rotating waves (diverging and converging spiral waves), and translating waves (retracting waves, ``critical fingers'' and ``V-shaped'' patterns). We analyze regions of existence of these patterns in the parametric space, and compare the results with those obtained by numerical simulations and with the ``free-boundary'' approach.

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