Computer Algebra Methods for Equivariant Dynamical Systems
This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables...
Kaydedildi:
| Diğer Yazarlar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1728 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computer algebra methods for equivariant dynamical systems, Karin Gatermann, 2000, Berlin, Springer, 1 vol. (XI-153 p.), Lecture notes in mathematics, 3-540-67161-7 • Computer Algebra Methods for Equivariant Dynamical Systems, Texte imprimé, 9783662199626 |
İçindekiler:
- Gröbner bases: Buchberger's algorithm
- The consequence of grading
- Definitions and the relation to Gröbner bases
- Computation of a Hilbert series
- The Hilbert series driven Buchberger algorithm
- The computation with algebraic extensions
- Detection of Gröbner bases
- Dynamic Buchberger algorithm
- Elimination
- Algorithms of the computation of invariants and equivariants: Using the Hilbert series
- Invariants
- Equivariants
- Using the nullcone
- Using a homogeneous system of parameters
- Computing uniqueness
- Symmetric bifurcation theory
- Local bifurcation analysis
- An example of secondary Hopf bifurcation
- Orbit space reduction
- Exact computation of steady states
- Differential equations on the orbit space
- Using Noether normalization
- Further reading
- References
- Index.