Structurally unstable quadratic vector fields of codimension one

Joan C. Artés, Jaume Llibre, Alex C. Rezende

Research output: Book/ReportBookResearchpeer-review

5 Citations (Scopus)


© Springer International Publishing AG, part of Springer Nature 2018. All Rights Reserved. Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.
Original languageEnglish
Number of pages266
Publication statusPublished - 2 Aug 2018


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