Jorge Sotomayor, Freddy Dumortier, Robert Roussarie, Henryk Zoladek
Bifurcations of planar vector fields
- ISBN 13:
- 9783540545217
- author:
- Jorge Sotomayor, Freddy Dumortier, Robert Roussarie, Henryk Zoladek
- format:
- Paperback
- publisher:
- Berlin ; Springer-Verlag, c1991.
- language:
- English
- Publication Year:
- 1991
- Pages:
- 232
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals is a comprehensive study of recent work by the authors on the bifurcation structure of singular points in planar vector fields with nilpotent linear parts. The book presents detailed analysis of the most important codimension-three cases, pushing the current understanding of bifurcation theory for planar vector fields to its limits. The treatment is geometric, yet relies heavily on analytical tools using abelian integrals, which are explicitly developed and refined in this work. This includes improved rescaling and normalization methods for practical application. The book assumes a strong foundation in Bifurcation and Dynamical Systems Theory and is geared towards researchers, graduate students, and professionals working with Ordinary Differential Equations and Dynamical Systems. This volume addresses complex multiparametric phenomena and provides valuable insights into the bifurcation structure of planar vector fields. With its focus on analytical tools and detailed analysis, it will be of interest to those seeking a deep understanding of this specialized field.
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