Finite cyclicity of the contact point in slow-fast integrable systems of Darboux type

Using singular perturbation theory and family blow-up we prove that nilpotent contact points in deformations of slow-fast Darboux integrable systems have finite cyclicity. The deformations are smooth or analytic depending on the region in the parameter space. This article is a natural continuatio...

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Bibliographic Details
Main Author: Renato Huzak
Format: Article
Language:English
Published: Texas State University 2020-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/90/abstr.html