Methods for kinetic equation of rarefied gases simulation of spiral waves in round excitable medium

Two approches to simulation of spiral waves in excitable medium of restricted size are considered which based on reaction-diffusion models and on kinematic description of autowave fronts evolution. Apart from known centersymmetrical solution a new two-periodical regime was discovered. It is shown that parameters of both regimes as well as their stability depend on the size of the excitable medium.