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http://hdl.handle.net/1942/11992| Title: | BIFURCATIONS OF MULTIPLE RELAXATION OSCILLATIONS IN POLYNOMIAL LIENARD EQUATIONS | Authors: | DE MAESSCHALCK, Peter DUMORTIER, Freddy |
Issue Date: | 2011 | Publisher: | AMER MATHEMATICAL SOC | Source: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(6). p. 2073-2085 | Abstract: | In this paper, we prove the presence of limit cycles of given multiplicity, together with a complete unfolding, in families of (singularly perturbed) polynomial Lienard equations. The obtained limit cycles are relaxation oscillations. Both classical Lienard equations and generalized Lienard equations are treated. | Notes: | P. De Maesschalck - Affiliation: Hasselt University, Campus Diepenbeek, Agoralaan gebouw D, B-3590 Diepenbeek, Belgium Email: peter.demaesschalck@uhasselt.be / F. Dumortier - Affiliation: Hasselt University, Campus Diepenbeek, Agoralaan gebouw D, B-3590 Diepenbeek, Belgium Email: freddy.dumortier@uhasselt.be | Keywords: | Slow-fast system; singular perturbations; limit cycles; relaxation oscillation; polynomial Lienard equations; elementary catastrophy;slow-fast system; singular perturbations; limit cycles; relaxation oscillation; polynomial Lienard equations; elementary catastrophy | Document URI: | http://hdl.handle.net/1942/11992 | ISSN: | 0002-9939 | e-ISSN: | 1088-6826 | DOI: | 10.1090/S0002-9939-2010-10610-X | ISI #: | 000290642200020 | Rights: | © XXXX American Mathematical Society. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2012 |
| Appears in Collections: | Research publications |
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| polymultiplelc.pdf Restricted Access | 312.68 kB | Adobe PDF | View/Open Request a copy |
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