Phase portraits of a new class of integrable quadratic vector fields

Jaume Llibre, Jesús S. Pérez Del Río, J. Angel Rodríguez

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

We classify the phase portraits of all real quadratic polynomial vector fields having one real invariant algebraic curve of degree 3 such that its complex irreducible factors satisfy some generic assumptions. These vector fields have a first integral.
Original languageEnglish
Pages (from-to)595-616
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Volume7
Issue number4
Publication statusPublished - 1 Dec 2000

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