Bifurcations of Planar Vector Fields Nilpotent Singularities and Abelian Integrals
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 cur...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991, 1991
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| Edition: | 1st ed. 1991 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Definitions and notations
- Transformation into normal form
- Bifurcations of codimension 1 and 2
- Elementary properties
- The central rescaling
- Conclusions and discussion of remaining problems
- Abelian integrals in unfoldings of codimension 3 singular planar vector fields