On quadratic systems with a degenerate critical point

A. Gasull, R. Prohens

Research output: Contribution to journalArticleResearchpeer-review


We study phase portraits of quadratic systems with exactly two critical points, one of them degenerate. This problem has already been considered in [10], where part of the results are obtained by computer. Here we deal with these systems in terms of semi-complete families of rotated vector fields. This new approach allows us to prove most of the bifurcation diagrams that we obtain. © 1996 Rocky Mountain Mathematics Consortium.
Original languageEnglish
Pages (from-to)135-164
JournalJournal of Differential Geometry
Publication statusPublished - 1 Jan 1996


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