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http://hdl.handle.net/1942/14830
Title: | Gevrey normal forms for nilpotent contact points of order two | Authors: | DE MAESSCHALCK, Peter | Issue Date: | 2014 | Source: | 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. | Keywords: | singular perturbations; slow-fast vector field; normal forms; Gevrey asymptotics | Document URI: | http://hdl.handle.net/1942/14830 | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | DOI: | 10.3934/dcds.2014.34.677 | ISI #: | 000325646400018 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2014 |
Appears in Collections: | Research publications |
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