[Traveling waves in a piecewise-linear reaction-diffusion model of excitable medium].

One-dimensional autowaves (traveling waves) in excitable medium described by a piecewise-linear reaction-diffusion system have been investigated. Two main types of waves have been considered: a single impulse and a periodic sequence of impulses (wave trains). In a two-component system, oscillations appear due to the presence of the second component in the reaction-diffusion system. In a one-component system, oscillations appear owing to external periodic excitation (forcing). Using semianalytical solutions for the wave profile, the shape and velocity of autowaves have been found. It is shown that the dispersion relation for oscillating sequences of impulses has an anomalous character.