Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/8537
Title: | Canard cycles with two breaking parameters (vol 17, pg 787, 2007) | Authors: | DUMORTIER, Freddy Roussarie, Robert |
Issue Date: | 2008 | Publisher: | AMER INST MATHEMATICAL SCIENCES | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 22(3). p. 816-816 | 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: | [Dumortier, Freddy] Univ Hasselt, B-3590 Diepenbeek, Belgium. [Roussarie, Robert] Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584, F-21078 Dijon, France. | Keywords: | slow-fast system; bifurcation; canard cycle; Lienard equation | Document URI: | http://hdl.handle.net/1942/8537 | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | ISI #: | 000259354100017 | Category: | M | Type: | Journal Contribution |
Appears in Collections: | Research publications |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.