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THE DYNAMICS OF SLOW MANIFOLDS

Ferdinand Verhulst, Taoufik Bakri

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Source: Crossref

Published: Jul 1, 2012

DOI: 10.22342/jims.13.1.76.73-90

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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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THE DYNAMICS OF SLOW MANIFOLDS — Mathematical Frontier Network