Geometric Configurations of Singularities of Planar Polynomial Differential Systems: A Global Classification in the Quadratic Case

Artés, Joan C., Llibre, Jaume, Schlomiuk, Dana

Geometric Configurations of Singularities of Planar Polynomial Differential Systems: A Global Classification in the Quadratic Case
  • 出版商: Birkhauser Boston
  • 出版日期: 2021-06-18
  • 售價: $7,020
  • 貴賓價: 9.5 折 $6,669
  • 語言: 英文
  • 頁數: 699
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030505693
  • ISBN-13: 9783030505691

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商品描述

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.

作者簡介

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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