Invariant algebraic curves and rational first integrals for planar polynomial vector fields

Javier Chavarriga, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

27 Citations (Scopus)

Abstract

We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C2 has a rational first integral, and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n. © 2000 Academic Press.
Original languageEnglish
Pages (from-to)1-16
JournalJournal of Differential Equations
Volume169
DOIs
Publication statusPublished - 1 Jan 2001

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