On a class of cubic planar polynomial foliations

Jaume Llibre, Gerardo Rodríguez

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Phase portraits of quadratic planar polynomial foliations are classified. Recently several papers deal with the phase portraits of cubic polynomial foliations. In this paper we determine all phase portraits of cubic planar polynomial foliations defined by all vector fields having the first component equal to a non-zero constant and the second one equal to an arbitrary cubic polynomial.
Original languageEnglish
Pages (from-to)67-97
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Volume4
Issue number1
Publication statusPublished - 1 Mar 1998

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