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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13501

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
Citation: 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
URI: http://hdl.handle.net/1942/13501
DOI: 10.3934/dcds.2012.32.1465
ISI #: 000299997100002
ISSN: 1078-0947
Category: A1
Type: Journal Contribution
Validation: ecoom, 2013
Appears in Collections: Research publications

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