On periodic orbits in a slow-fast system with normally elliptic slow manifold

Sourdis, Christos (2013) On periodic orbits in a slow-fast system with normally elliptic slow manifold. (Submitted)

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Abstract

In this note we consider the bifurcation of a singular homoclinic orbit to periodic ones in a 4-dimensional slow-fast system of ordinary differential equations, having a 2-dimensional normally elliptic slow manifold, originally studied by Feckan and Rothos. Assuming an extra degree of differentiability on the system, we can refine their perturbation scheme, in particular the choice of approximate solution, and obtain improved estimates.

Item Type: Article
Subjects: Q Science > QA Mathematics
Depositing User: Dr. Christos Sourdis
Date Deposited: 17 Mar 2013 11:32
Last Modified: 18 Nov 2017 00:00
URI: http://preprints.acmac.uoc.gr/id/eprint/174

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