Configurations of limit cycles in Lienard equations

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/15848

Title:	Configurations of limit cycles in Lienard equations
Authors:	Coll, B. DUMORTIER, Freddy Prohens, R.
Issue Date:	2013
Source:	JOURNAL OF DIFFERENTIAL EQUATIONS, 255 (11), p. 4169-4184
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.
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
Keywords:	Planar vector field; Lienard equation; Limit cycles configuration; Morse polynomial function
Document URI:	http://hdl.handle.net/1942/15848
ISSN:	0022-0396
e-ISSN:	1090-2732
DOI:	10.1016/j.jde.2013.08.004
ISI #:	000324960100018
Category:	A1
Type:	Journal Contribution
Validations:	ecoom 2014
Appears in Collections:	Research publications

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