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http://hdl.handle.net/1942/10909
Title: | Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial lienard systems | Authors: | CAUBERGH, Magdalena DUMORTIER, Freddy LUCA, Stijn |
Issue Date: | 2010 | Publisher: | AMER INST MATHEMATICAL SCIENCES | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 27(3). p. 963-980 | Abstract: | The paper deals with the cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Lienard systems of type (m, n) with m < 2n+1, m and n odd. We generalize the results in [1] (case m = 1), providing a substantially simpler and more transparant proof than the one used in [1]. | Notes: | [Caubergh, Magdalena] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain. [Dumortier, Freddy; Luca, Stijn] Univ Hasselt, B-3590 Diepenbeek, Belgium. | Keywords: | Lienard equation; limit cycle; heteroclinic connection; cyclicity | Document URI: | http://hdl.handle.net/1942/10909 | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | DOI: | 10.3934/dcds.2010.27.963 | ISI #: | 000276391300006 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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