The interaction of Belousov-Zhabotinsky and Fisher-Kolmogorov waves across a semi-permeable membrane

Autor:	Mark J. Metcalf, Stephen K. Scott, John H. Merkin
Rok vydání:	1996
Předmět:	Meteorology Chemistry General Mathematics Kinetics General Engineering General Physics and Astronomy Mechanics Coupling (physics) Membrane Limit (mathematics) Semipermeable membrane Oregonator Bifurcation Stoichiometry
Zdroj:	Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 452:1807-1826
ISSN:	1471-2946 1364-5021
DOI:	10.1098/rspa.1996.0096
Popis:	The propagation of chemical waves in two regions, coupled together by a linear diffusive interchange of neutral species across a semi-permeable membrane is considered. The reaction scheme in region I is assumed to have Belousov-Zhabotinsky kinetics and the reduced Oregonator model is used to model this. In region II the reaction scheme is modified so that, in the absence of coupling, a Fisher-Kolmogorov travelling wave would be initiated. This leads, in a natural way, to a study of the effects of coupling between excitable and non-excitable systems. The bifurcation parameters are taken to be the strength of the coupling and the value of the stoichiometric factor in region I. The dynamical behaviour of this system is examined numerically, and asymptotically for strong coupling. In this limit it is shown that waves in both regions propagate with a profile identical to that of an uncoupled Belousov-Zhabotinsky wave with a stoichiometry which is half of that of the uncoupled system.
Databáze:	OpenAIRE
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