Reduction waves in the two-variable Oregonator model for the BZ reaction

Merkin, J.H. and Taylor, A.F. (2012) Reduction waves in the two-variable Oregonator model for the BZ reaction. Physica D: Nonlinear Phenomena, 241 (16), 1336-1343. (doi:10.1016/j.physd.2012.04.007).

Record type: Article

Abstract

Numerical simulations of the two-variable Oregonator in a one-dimensional reaction–diffusion model are undertaken to show the formation of single reduction pulses. These are seen to exist over relatively narrow ranges of the (dimensionless) kinetic parameters and arising in the derivation of the Oregonator model, though they are seen for all values of the diffusion coefficient ratio considered. For the smaller values of a direct transition from single reduction pulses to wave trains is found. For equal diffusion coefficients,
, this transition involves a sequence of complex spatio-temporal dynamics, including localized oscillatory behaviour and the successive spreading of a region in the reduced state. The present results are compared with results from the three-variable Oregonator and the Rovinsky–Zhabotinsky models for the BZ reaction, as well as with previous experimental observations.

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