title: Periodic spatiotemporal patterns in a two-dimensional two-variable reaction-diffusion model.
abstract: Periodic spatiotemporal two-dimensional (2D) asymptotic patterns in an excitable two-variable thermochemical (reaction-diffusion) system are shown. In a one-dimensional system the traveling impulse which reflects from impermeable boundaries is a stable asymptotic solution if the diffusion coefficient of the reactant is greater than the thermal diffusivity of the system. Periodic patterns of two symmetries are presented in the 2D system: the impulse of excitation propagating along the diagonal of a square spatial domain and a structure consisting of curved impulses which propagate in the direction perpendicular to one side of a rectangular domain.
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Warsaw. alk@ichf.edu.pl
authors.forename: Andrzej L
authors.initials: AL
authors.lastname: Kawczyński
authors.forename: Marcin
authors.initials: M
authors.lastname: Leda