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On Limit Cycles Appearing by Polynomial Perturbation of Darbouxian Integrable Systems
Authors:Dmitry Novikov
Institution:(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
Keywords:AMS Mathematics Subject Classification:" target="_blank">AMS Mathematics Subject Classification:  32C07
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