Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial lienard systems

Please use this identifier to cite or link to this item: 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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