Contributions to Books:
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,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.