title: Wave reflection in a reaction-diffusion system: breathing patterns and attenuation of the echo.
abstract: Formation and interaction of the one-dimensional excitation waves in a reaction-diffusion system with the piecewise linear reaction functions of the Tonnelier-Gerstner type are studied. We show that there exists a parameter region where the established regime of wave propagation depends on initial conditions. Wave phenomena with a complex behavior are found: (i) the reflection of waves at a growing distance (the remote reflection) upon their collision with each other or with no-flux boundaries and (ii) the periodic transformation of waves with the jumping from one regime of wave propagation to another (the periodic trigger wave).
authors.affiliation: Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Institutskaya 3, 142290 Pushchino, Moscow Region, Russia.
authors.forename: M A
authors.initials: MA
authors.lastname: Tsyganov
authors.affiliation: Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Institutskaya 3, 142290 Pushchino, Moscow Region, Russia.
authors.forename: G R
authors.initials: GR
authors.lastname: Ivanitsky
authors.affiliation: Department of Continuum Mechanics, A. A. Dorodnitsyn Computing Centre, Russian Academy of Sciences, Vavilova 40, 119333 Moscow, Russia.
authors.forename: E P
authors.initials: EP
authors.lastname: Zemskov
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*