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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/14830

Title: Gevrey normal forms for nilpotent contact points of order two
Authors: DE MAESSCHALCK, Peter
Issue Date: 2014
Citation: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 34 (2), p. 677-688
Abstract: This paper deals with normal forms about contact points (turning points) of nilpotent type that one frequently encounters in the study of planar slow-fast systems. In case the contact point of an analytic slow-fast vector field is of order two, we prove that the slow-fast vector field can locally be written as a slow-fast Liénard equation up to exponentially small error. The proof is based on the use of Gevrey asymptotics. Furthermore, for slow-fast jump points, we eliminate the exponentially small remainder.
URI: http://hdl.handle.net/1942/14830
DOI: 10.3934/dcds.2014.34.677
ISI #: 000325646400018
ISSN: 1078-0947
Category: A1
Type: Journal Contribution
Validation: ecoom, 2014
Appears in Collections: Research publications

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