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http://hdl.handle.net/1942/15848
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DC Field | Value | Language |
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dc.contributor.author | Coll, B. | - |
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | Prohens, R. | - |
dc.date.accessioned | 2013-10-25T13:47:16Z | - |
dc.date.available | 2013-10-25T13:47:16Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 255 (11), p. 4169-4184 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/15848 | - |
dc.description.abstract | We show that every finite configuration of disjoint simple closed curves in the plane is topologically realizable as the set of limit cy-cles of a polynomial Liénard equation.The related vector field X is Morse–Smale. Moreover it has the minimum numberof singulari-ties required fo rrealizing the configuration in a Liénardequation. We provide an explicit upper bound on the degree of X, which is lower than the results obtained before, obtained in the context of general polynomial vector fields. ©2013ElsevierInc. All rights reserved. | - |
dc.description.sponsorship | The second author thanks the Universitat de les Illes Balears (UIB) for its support as invited professor during December, 2012. The third author is supported by the MICIIN/FEDER grant number MTM2011-22751. | - |
dc.language.iso | en | - |
dc.subject.other | Planar vector field; Lienard equation; Limit cycles configuration; Morse polynomial function | - |
dc.title | Configurations of limit cycles in Lienard equations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 4184 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 4169 | - |
dc.identifier.volume | 255 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Prohens, R (reprint author), Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Illes Balears, Spain. tomeu.coll@uib.cat; freddy.dumortier@uhasselt.be; rafel.prohens@uib.cat | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jde.2013.08.004 | - |
dc.identifier.isi | 000324960100018 | - |
item.fullcitation | Coll, B.; DUMORTIER, Freddy & Prohens, R. (2013) Configurations of limit cycles in Lienard equations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 255 (11), p. 4169-4184. | - |
item.fulltext | No Fulltext | - |
item.accessRights | Closed Access | - |
item.contributor | Coll, B. | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | Prohens, R. | - |
item.validation | ecoom 2014 | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
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