Configurations of limit cycles in Lienard equations

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.

Jaar van publicatie:2013

Trefwoorden:Planar vector field, Lienard equation, Limit cycles configuration, Morse polynomial function

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:6

CSS-citation score:1

Auteurs:International

Authors from:Higher Education

Toegankelijkheid:Closed