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|Title: ||Configurations of limit cycles in Lienard equations|
|Authors: ||Coll, B.|
|Issue Date: ||2013|
|Citation: ||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.
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|ISI #: ||000324960100018|
|Type: ||Journal Contribution|
|Validation: ||ecoom, 2014|
|Appears in Collections: ||Research publications|
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