Periodical survival or decay of traveling impulse in a model of a one-dimensional reaction-diffusion system.
A two-variable model of a one-dimensional (1D), open, excitable reaction-diffusion system describing space-time evolutions of traveling impulses is investigated. It is shown that depending on the size of the system, the traveling impulse can survive or decay. Continuous increase of the size of the system causes periodical repetitions of surviving and decay of the impulse. The qualitative properties of the model, which allow us to expect the phenomenon, are described. Numerical solutions confirm this expectation. The chemical reaction scheme is realistic and may be a stimulus for seeking the phenomenon in experiments.
Kawczyński
Andrzej L
AL
Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland. alk@ichf.edu.pl
Legawiec
Bartłomiej
B