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http://hdl.handle.net/1942/8265
Title: | Multi-layer canard cycles and translated power functions | Authors: | DUMORTIER, Freddy Roussarie, R. |
Issue Date: | 2008 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 244(6). p. 1329-1358 | Abstract: | The paper deals with two-dimensional slow-fast systems and more specifically with multi-layer canard cycles. These are canard cycles passing through n layers of fast orbits, with n >= 2. The canard cycles are subject to n generic breaking mechanisms and we study the limit cycles that can be perturbed from the generic canard cycles of codimension n. We prove that this study can be reduced to the investigation of the fixed points of iterated translated power functions. (c) 2007 Elsevier Inc. All rights reserved. | Notes: | Unuv Hasselt, B-3590 Diepenbeek, Belgium. Univ Bourgogne, CNRS, Inst Math, UMR 55840, F-21078 Dijon, France.Dumortier, F, Unuv Hasselt, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium.freddy.dumortier@uhasselt.be roussari@u-bourgogne.fr | Keywords: | slow-fast system; bifurcation; canard cycle; Lienard equation | Document URI: | http://hdl.handle.net/1942/8265 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2007.08.013 | ISI #: | 000255005700003 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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