Geometric Configurations of Singularities of Planar Polynomial Differential Systems
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Geometric Configurations of Singularities of Planar Polynomial Differential Systems

Geometric Configurations of Singularities of Planar Polynomial Differential Systems


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About the Book

Part I.- Polynomial differential systems with emphasis on the quadratic ones.- 1 Introduction.- 2 Survey of results on quadratic differential systems.- 3 Singularities of polynomial differential systems.- 4 Invariants in mathematical classification problems.- 5 Invariant theory of planar polynomial vector fields.- 6 Main results on classifications of singularities in QS.- 7 Classifications of quadratic systems with special singularities.- Part II.- 8 QS with finite singularities of total multiplicity at most one.- 9 QS with finite singularities of total multiplicity two.- 10 QS with finite singularities of total multiplicity three.- 11 QS with finite singularities of total multiplicity four.- 12 Degenerate quadratic systems.- 13 Conclusions.
About the Author: Joan C. Artés is Associate Professor at the Departament de Matemàtiques, Universitat Autònoma de Barcelona in Barcelona, Spain.

Jaume Llibre is Full Professor at the Departament de Matemàtiques, Universitat Autònoma de Barcelona in Barcelona, Spain.

Dana Schlomiuk is Honorary Professor, former Full Professor at the Département de Mathématiques et de Statistiques, Université de Montréal in Montreal, Canada.

Nicolae Vulpe is Professor, Principal Researcher at the Vladimir Andrunachievici Institute of Mathematics and Computer Science in Chisinau, Moldova.


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Product Details
  • ISBN-13: 9783030505691
  • Publisher: Springer International Publishing
  • Publisher Imprint: Birkhauser
  • Height: 234 mm
  • No of Pages: 699
  • Spine Width: 38 mm
  • Weight: 1214 gr
  • ISBN-10: 3030505693
  • Publisher Date: 05 Sep 2021
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: A Global Classification in the Quadratic Case
  • Width: 156 mm


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Geometric Configurations of Singularities of Planar Polynomial Differential Systems
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