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Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases

Author: H W Broer
Publisher: Berlin ; New York : Springer-Verlag, ©2003.
Series: Lecture notes in mathematics (Springer-Verlag), 1806.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. The volume focuses on two such reduction methods, the planar reduction  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H W Broer
ISBN: 3540004033 9783540004035
OCLC Number: 51446246
Description: xiii, 169 pages : illustrations ; 24 cm.
Contents: 1. Introduction --
Part I: Applications --
2. Method I: Planar reduction --
3. Method II: The energy-momentum map --
Part II: Theory --
4. Birkhoff normalization --
5. Singularity theory --
6. Gröbner bases and standard bases --
7. Computing normalizing transformations --
A. Appendix.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1806.
Responsibility: Henk Broer [and others].
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