Main Article Content

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

Keywords

singular perturbations slow manifolds periodic solutions canards relaxation oscillations

Article Details

How to Cite
Verhulst, F., & Bakri, T. (2012). THE DYNAMICS OF SLOW MANIFOLDS. Journal of the Indonesian Mathematical Society, 13(1), 73–90. https://doi.org/10.22342/jims.13.1.76.73-90