Geometric Configurations of Singularities of Planar Polynomial Differential 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

in Springer Books from Springer

Date: 2021
ISBN: 978-3-030-50570-7
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Chapters in this book:

Ch Chapter 1 Introduction

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 10 Quadratic systems with definite singularities of total multiplicity three

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 11 Quadratic systems with finite singularities of total multiplicity four

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 12 Degenerate quadratic systems ( $$ \textit{m}_{\textit{f}} = \infty $$ )

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 13 Conclusions

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 2 Survey of results on quadratic differential systems

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 3 Singularities of polynomial differential systems

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 4 Invariants in mathematical classification problems

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 5 Invariant theory of planar polynomial vector fields

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 6 Main results on classifications of definite, infinite and weak singularities in quadratic systems

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 7 Classifications of quadratic systems with special singularities

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 8 Quadratic systems with definite singularities of total multiplicity at most one

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

Ch Chapter 9 Quadratic systems with definite singularities of total multiplicity two

Joan C. Artés, Jaume Llibre, Dana Schlomiuk and Nicolae Vulpe

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

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