Oregonator Scaling Motivated by the Showalter-Noyes Limit.
The Belousov-Zhabotinsky (BZ) reaction is the prototype oscillatory chemical system. We investigate here a new scaling of the Oregonator model of BZ chemical kinetics and use this scaling to elucidate fundamental properties of BZ dynamics. In particular, the Showalter-Noyes criterion for oscillation, that the product [BrO3-][H+] exceeds a critical value, arises naturally as a subcritical Hopf bifurcation in this setting, as does the reduction to a two-variable model. We thus provide chemical explanations of the role of time scales in the BZ reaction.
Division of Science, Mathematics and Computing, Bard College at Simon's Rock , 84 Alford Road, Great Barrington, Massachusetts 01230, United States.
Harold M
HM
Hastings
Department of Chemistry, University of Montana , Missoula, Montana 59812, United States.
Richard J
RJ
Field
Sabrina G
SG
Sobel
David
D
Guralnick