Proof of Theorem 1.1(b)

Joan C. Artés, Jaume Llibre and Alex C. Rezende
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Joan C. Artés: Universitat Autònoma de Barcelona, Departament de Matemàtiques
Jaume Llibre: Universitat Autònoma de Barcelona, Departament de Matemàtiques
Alex C. Rezende: Universitat Autònoma de Barcelona, Departament de Matemàtiques

Chapter Chapter 6 in Structurally Unstable Quadratic Vector Fields of Codimension One, 2018, pp 185-264 from Springer

Abstract: Abstract In the previous chapter we have produced all the topologically possible phase portraits for structurally unstable quadratic systems of codimension one∗. And from them, we have already discarded some that are not realizable for several reasons. Moreover, there are some skeletons of separatrices from Family D that give rise to two different phase portraits according to the different stability that a focus may have. We will collect these cases under the label “dual D’s”. The data may be summarized in the next table.

Date: 2018
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DOI: 10.1007/978-3-319-92117-4_6

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