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Lecture Notes in Mathematics Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals, Book 1480, (Paperback)

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Management number 238070835 Release Date 2026/07/11 List Price US$21.98 Model Number 238070835
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The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena.

  • Lecture Notes in Mathematics Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals, Book 1480, (Paperback)
  • Author: Springer
  • ISBN: 9783540545217
  • Format: Paperback
  • Publication Date: 1991-10-09
  • Page Count: 232
Book format Paperback
Fiction/nonfiction Non-Fiction
Genre Textbooks
Publication date October, 1991
Pages 232
Subgenre Differential Equations
Series title Lecture Notes in Mathematics
Number in series 1480
Edition 1991 Edition
Publisher Springer
Original languages English
Language English
Edu focus Mathematics
Educational level General
Is collectible N
Binding type Perfect Binding
Recording time 0 min
Retail packaging Single Piece
Assembled product dimensions (l x w x h) 6.14 x 0.51 x 9.21 in
Assembled product weight 0.75 lb
Bisac subject heading Mathematics

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