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http://hdl.handle.net/1942/14536
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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 | 2013-01-18T13:20:28Z | - |
dc.date.available | 2013-01-18T13:20:28Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 254 (3), p. 1582-1600 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/14536 | - |
dc.description.abstract | This paper aims at providing an example of a family of polynomial Lienard equations exhibiting an alien limit cycle. This limit cycle is perturbed from a 2-saddle cycle in the boundary of an annulus of periodic orbits given by a Hamiltonian vector field. The Hamiltonian represents a truncated pendulum of degree 4. In comparison to a former polynomial example, not only the equations are simpler but a lot of tedious calculations can be avoided, making the example also interesting with respect to simplicity in treatment. (C) 2012 Elsevier Inc. All rights reserved. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject.other | Planar vector field; Lienard equation; Hamiltonian perturbation; Limit cycle; Abelian integral; 2-Saddle cycle | - |
dc.subject.other | Mathematics; planar vector field; Lienard equation; Hamiltonian perturbation; limit cycle; Abelial integral; 2-saddle cycle | - |
dc.title | Alien limit cycles in Lienard equations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1600 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1582 | - |
dc.identifier.volume | 254 | - |
local.format.pages | 19 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Coll, B.; Prohens, R.] Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Illes Balears, Spain. [Dumortier, F.] Univ Hasselt, Dept Wiskunde, B-3590 Diepenbeek, Belgium. | - |
local.publisher.place | SAN DIEGO | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jde.2012.11.005 | - |
dc.identifier.isi | 000312574500025 | - |
item.fullcitation | Coll, B.; DUMORTIER, Freddy & Prohens, R. (2013) Alien limit cycles in Lienard equations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 254 (3), p. 1582-1600. | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted 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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File | Description | Size | Format | |
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coll 1.pdf Restricted Access | Published version | 303.69 kB | Adobe PDF | View/Open Request a copy |
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