Partial linearization for planar nonautonomous differential equations

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18693

Title:	Partial linearization for planar nonautonomous differential equations
Authors:	BONCKAERT, Patrick DE MAESSCHALCK, Peter Doan, T. S. Siegmund, S.
Issue Date:	2015
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Source:	JOURNAL OF DIFFERENTIAL EQUATIONS, 258 (5), p. 1618-1652
Abstract:	We prove a partial linearization theorem for planar nonautonomous differential equations with one center-like direction and one hyperbolic direction. Gap conditions are formulated in terms of the dichotomy spectral intervals. The result is applied to the Duffing-van der Pol oscillator under a nonautonomous parametric perturbation. (C) 2014 Elsevier Inc. All rights reserved.
Notes:	[Bonckaert, P.; De Maesschalck, P.] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Doan, T. S.] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England. [Doan, T. S.] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam. [Siegmund, S.] Tech Univ Dresden, Dept Math, Ctr Dynam, D-01062 Dresden, Germany. [Siegmund, S.] Tech Univ Dresden, Inst Anal, D-01062 Dresden, Germany. patrick.bonckaert@uhasselt.be; peter.demaesschalck@uhasselt.be; t.doan@imperial.ac.uk; stefan.siegmund@tu-dresden.de
Document URI:	http://hdl.handle.net/1942/18693
ISSN:	0022-0396
e-ISSN:	1090-2732
DOI:	10.1016/j.jde.2014.11.007
ISI #:	000348826300007
Rights:	© 2014 Elsevier Inc. All rights reserved.
Category:	A1
Type:	Journal Contribution
Validations:	ecoom 2016
Appears in Collections:	Research publications

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