Journal of the Indonesian Mathematical Society
Volume 13 Number 1 (April 2007)

THE DYNAMICS OF SLOW MANIFOLDS

Ferdinand Verhulst (Mathematisch Instituut, University of Utrecht, PO Box 80.010, 3508 TA Utrecht, The Netherlands.)
Taoufik Bakri (Mathematisch Instituut, University of Utrecht, PO Box 80.010, 3508 TA Utrecht, The Netherlands.)

Article Info

Publish Date
01 Jul 2012

Abstract

After reviewing a number of results from geometric singular perturbation theory, we discuss several approaches to obtain periodic solutions in a slow manifold.Regarding nonhyperbolic transitions we consider relaxation oscillations and canard-like solutions. The results are illustrated by prey-predator systems.DOI : http://dx.doi.org/10.22342/jims.13.1.76.73-90

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Journal Info
Journal of the Indonesian Mathematical Society
Website

Abbrev

JIMS

Publisher

Indonesian Mathematical Society

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...