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http://hdl.handle.net/1942/11992
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| Title: | BIFURCATIONS OF MULTIPLE RELAXATION OSCILLATIONS IN POLYNOMIAL LIENARD EQUATIONS |
| Authors: | DE MAESSCHALCK, Peter
DUMORTIER, Freddy |
| Issue Date: | 2011 |
| Publisher: | AMER MATHEMATICAL SOC |
| Citation: | 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 |
| URI: | http://hdl.handle.net/1942/11992 |
| DOI: | 10.1090/S0002-9939-2010-10610-X |
| ISI #: | 000290642200020 |
| ISSN: | 0002-9939 |
| Category: | A1 |
| Type: | Journal Contribution |
| Validation: | ecoom, 2012
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| Appears in Collections: | Research publications
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