Quadratic systems with definite singularities of total multiplicity two

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 9 in Geometric Configurations of Singularities of Planar Polynomial Differential Systems, 2021, pp 281-327 from Springer

Abstract: Abstract According to Proposition 6.1 for the quadratic systems having the finite singularities of total multiplicity two, the conditions μ 0 = μ 1 = 0 and μ 2 ≠ 0 must be satisfied. So by Theorem 6.4 the following lemma is valid.

Date: 2021
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DOI: 10.1007/978-3-030-50570-7_9

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