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http://hdl.handle.net/1942/4046
Title: | Canard cycles with two breaking parameters | Authors: | DUMORTIER, Freddy Roussarie, Robert |
Issue Date: | 2007 | Publisher: | AMER INST MATHEMATICAL SCIENCES | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 17(4). p. 787-806 | Abstract: | We consider two-dimensional slow-fast systems with a layer equation exhibiting canard cycles. The canard cycles under consideration contain both a turning point and a fast orbit connecting two jump points. At both the turning point and the connecting fast orbit we suppose the presence of a parameter permitting generic breaking. Such canard cycles depend on two parameters, that we call phase parameters. We study the relaxation oscillations near the canard cycles by means of a map from the plane of phase parameters to the plane of breaking parameters. | Notes: | Univ Hasselt, B-3590 Diepenbeek, Belgium. Univ Bourgogne, CNRS, UMR 5584, Math Inst Bourgogne, F-21078 Dijon, France.DUMORTIER, F, Univ 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/1942/4046 | Link to publication/dataset: | http://aimsciences.org/journals/pdfs.jsp?paperID=2163&mode=abstract | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | ISI #: | 000243024300007 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2008 |
Appears in Collections: | Research publications |
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