Quadratic and cubic systems with degenerate infinity

A. Gasull, R. Prohens

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

We obtain an affine classification of quadratic systems with degenerate infinity in eight types and prove that they present 13 phase portraits on the Poincaré sphere. For cubic systems with degenerate infinity the situation is much more complicated. We show that there are examples of such systems with at least three concentric limit cycles and we give a criterion to ensure that, in some cases, this number is less than or equal to two. © 1996 Academic Press, Inc.
Original languageEnglish
Pages (from-to)25-34
JournalJournal of Mathematical Analysis and Applications
Volume198
DOIs
Publication statusPublished - 15 Feb 1996

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