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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21612

Title: Normal forms near a symmetric planar saddle connection
Authors: Wynen, Jeroen
Issue Date: 2016
Citation: JOURNAL OF DIFFERENTIAL EQUATIONS, 260 (10), p. 7606-7633
Abstract: The present paper studies vector fields of the form (x) over dot = (q/2 + O (1 - x(2))) (1 - x(2)) + O (y), (y) over dot =(px + 0 (1 - x(2))) y + O (y(2)), which contain a separatrix connection between hyperbolic saddles with opposite eigenvalues where the connection is fixed. Smooth semi-local normal forms are provided in vicinity of the connection, both in the resonant and non-resonant case. First, a formal conjugacy is constructed near the separatrix. Then, a smooth change of coordinates is realized by generalizing known local results near the hyperbolic points. (C) 2016 Elsevier Inc. All rights reserved.
Notes: [Wynen, Jeroen] Hasselt Univ, Dept Math, Martelarenlaan 42, B-3500 Hasselt, Belgium.
URI: http://hdl.handle.net/1942/21612
DOI: 10.1016/j.jde.2016.01.034
ISI #: 000373243700013
ISSN: 0022-0396
Category: A1
Type: Journal Contribution
Validation: ecoom, 2017
Appears in Collections: Research publications

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