On Limit Cycles Appearing by Polynomial Perturbation of Darbouxian Integrable Systems
Authors:
Dmitry Novikov
Affiliation:
(1) Department of Mathematics, Weizmann Institute of Science, Rehovot, 76100, Israel
Abstract:
We prove an existential finiteness result for integrals of rational 1-forms over the level curves of Darbouxian integrals. Received: May 2007, Revision: March 2008, Accepted: March 2008