Main results on classifications of definite, infinite and weak singularities in quadratic systems

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe
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Joan C. Artés: Universitat Autònoma de Barcelona, Departament de Matemàtiques
Jaume Llibre: Universitat Autònoma de Barcelona, Departament de Matemàtiques
Dana Schlomiuk: Université de Montréal, Département de Mathématiques et de Statistiques
Nicolae Vulpe: Vladimir Andrunachievici Institute of Mathematics and Computer Science

Chapter Chapter 6 in Geometric Configurations of Singularities of Planar Polynomial Differential Systems, 2021, pp 133-162 from Springer

Abstract: Abstract In this chapter we sum up results on finite singularities of quadratic differential systems previously obtained by us and that were published prior to the publication of this book (see [41, 29, 338, 301, 26, 32]). Roughly speaking these results give us global information about the possibilities for the number and multiplicity of finite singularities (see [41, 29]), the canonical forms for these possibilities, the weak singularities that may occur as well as the cases of integrable saddles and information on the infinite singularities.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-50570-7_6

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DOI: 10.1007/978-3-030-50570-7_6

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