[Zurück]

I. Gucwa, P. Szmolyan:
"Geometric singular perturbation analysis of an autocatalator model";
in: "ASC Report 26/2008", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

A singularly perturbed planar system of di®erential 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