Algebraic invariant curves for the Liénard equation
Authors:
Henryk Zoladek
Affiliation:
Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
Abstract:
Odani has shown that if then after deleting some trivial cases the polynomial system does not have any algebraic invariant curve. Here we almost completely solve the problem of algebraic invariant curves and algebraic limit cycles of this system for all values of and . We give also a simple presentation of Yablonsky's example of a quartic limit cycle in a quadratic system.