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Partial linearization for planar nonautonomous differential equations

Tijdschriftbijdrage - Tijdschriftartikel

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.
Tijdschrift: Journal of Differential Equations
ISSN: 0022-0396
Issue: 5
Volume: 258
Pagina's: 1618 - 1652
Jaar van publicatie:2015
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:6
CSS-citation score:1
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Closed