I. Gucwa, P. Szmolyan:

"Geometric singular perturbation analysis of an autocatalator model";

in: "ASC Report 26/2008", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

A singularly perturbed planar system of diŽerential equations

modeling an autocatalytic chemical reaction is studied. For certain param-

eter values a limit cycle exists. Geometric singular perturbation theory is used

to prove the existence of this limit cycle. A central tool in the analysis is the

blow-up method which allows to identify a complicated singular cycle which

is shown to persist.

http://www.asc.tuwien.ac.at/preprint/2008/asc26x2008.pdf

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