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http://hdl.handle.net/1942/18708| Title: | Slow Divergence Integrals in Classical Li,nard Equations Near Centers | Authors: | DE MAESSCHALCK, Peter HUZAK, Renato |
Issue Date: | 2015 | Publisher: | SPRINGER | Source: | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 27 (1), p. 177-185 | Abstract: | We significantly improve lower bounds for the number of limit cycles for polynomial classical Li,nard equations, aiming at stating lower bounds that are reasonable enough to be optimal. The techniques used are the notion of slow divergence integral from the geometric theory of planar slow-fast systems. | Notes: | [De Maesschalck, Peter; Huzak, Renato] Hasselt Univ, B-3590 Diepenbeek, Belgium. peter.demaesschalck@uhasselt.be; renato.huzak@uhasselt.be | Keywords: | Classical Lienard equations; Limit cycles; Singular perturbations; Slow-fast systems; Slow divergence integral;classical Liénard equations; limit cycles; singular perturbations; slow-fast systems; slow divergence integral | Document URI: | http://hdl.handle.net/1942/18708 | ISSN: | 1040-7294 | e-ISSN: | 1572-9222 | DOI: | 10.1007/s10884-014-9358-1 | ISI #: | 000350823100007 | Rights: | © Springer Science+Business Media New York 2014. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| de maesschalck 1.pdf Restricted Access | Published version | 207.81 kB | Adobe PDF | View/Open Request a copy |
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