V. Petrov et al., EXCITABILITY, WAVE REFLECTION, AND WAVE SPLITTING IN A CUBIC AUTOCATALYSIS REACTION-DIFFUSION SYSTEM, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 347(1685), 1994, pp. 631-642
The excitability properties of a two-variable cubic autocatalysis mode
l for chemical oscillations are examined. The reaction-diffusion behav
iour of this model is studied in a one-dimensional configuration with
differing relative diffusivities of the species. Wave reflection at no
-flux boundaries is examined and described in terms of reactant deplet
ion in the wave front and reactant influx in the wave back. Waves are
also reflected upon collision with other waves. Wave splitting, the sp
ontaneous initiation of a wave from the trailing edge of another wave,
is found to occur for some relative diffusivities. Successive wave sp
littings give rise to stationary Turing patterns at long times.