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Title: | Sharp upperbounds for the number of large amplitude limit cycles in polynomial lienard sytems | Authors: | DUMORTIER, Freddy | Issue Date: | 2012 | Publisher: | AMER INST MATHEMATICAL SCIENCES | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32 (5), p. 1465-1479 | Abstract: | In [1] and [2] upperbounds have been given for the number of large amplitude limit cycles in polynomial Lienard systems of type (m, n) with m < 2n + 1, m and n odd. In the current paper we improve the upperbounds from [1] and [2] by one unity, obtaining sharp results. We therefore introduce the "method of cloning variables" that might be useful in other cyclicity problems. | Notes: | Dumortier, F (reprint author), Univ Hasselt, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. freddy.dumortier@uhasselt.be | Keywords: | Lienard equation; Limit cycle; Heteroclinic connection; Cyclicity;Mathematics, Applied; Mathematics | Document URI: | http://hdl.handle.net/1942/13501 | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | DOI: | 10.3934/dcds.2012.32.1465 | ISI #: | 000299997100002 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2013 |
Appears in Collections: | Research publications |
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