Alien limit cycles in Lienard equations

This paper aims at providing an example of a family of polynomial Lienard equations exhibiting an alien limit cycle. This limit cycle is perturbed from a 2-saddle cycle in the boundary of an annulus of periodic orbits given by a Hamiltonian vector field. The Hamiltonian represents a truncated pendulum of degree 4. In comparison to a former polynomial example, not only the equations are simpler but a lot of tedious calculations can be avoided, making the example also interesting with respect to simplicity in treatment. (C) 2012 Elsevier Inc. All rights reserved.

Jaar van publicatie:2013

Trefwoorden:Lienard equation, Hamiltonian perturbation, Mathematics, planar vector field, limit cycle, Abelial integral, 2-saddle cycle, Planar vector field, Limit cycle, Abelian integral, 2-Saddle cycle

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:6

CSS-citation score:2

Auteurs:International

Authors from:Higher Education

Toegankelijkheid:Closed