Titlebook: Geometric Configurations of Singularities of Planar Polynomial Differential Systems; A Global Classificat Joan C. Artés,Jaume Llibre,Nicola

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Quadratic systems with definite singularities of total multiplicity threeAccording to Proposition 5.1, for a quadratic system to have finite singularities of total multiplicity three (i.e. .. = 3), the conditions .. = 0 and .. ≠ 0 must be satisfied. Then by Theorem 6.4 the following lemma is valid.

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Quadratic systems with finite singularities of total multiplicity fourConsider real the quadratic systems (8.1). According to Proposition 5.1 for a quadratic system (8.1) to have finite singularities of total multiplicity four (i.e. .. = 4), the condition .. ≠ 0 must be satisfied. Therefore according to Theorem 6.4 the following lemma is valid.

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Part 1: Introduction and General Principles, 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

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Book 2021cient and less time-consuming..Given its scope, the book will appeal to specialists on polynomial differential systems, pure and applied mathematicians who need to study bifurcation diagrams of families of such systems, Ph.D. students, and postdoctoral fellows..