Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplification is possible. Near the equilibrium or (quasi-) periodic solution under consideration the linear part al...
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1806 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Bifurcations in Hamiltonian systems, computing singularities by Gröbner bases, Henk Broer, Igor Hoveijn, Gerton Lunter ... [et al.], 2003, Berlin, Springer, 1 vol. (XIII-169 p.), Lecture notes in mathematics, 978-3-540-00403-5 • Bifurcations in Hamiltonian Systems, Texte imprimé, 9783662193358 |
Indholdsfortegnelse:
- Introduction
- I. Applications: Methods I: Planar reduction; Method II: The energy-momentum map
- II. Theory: Birkhoff Normalization; Singularity Theory; Gröbner bases and Standard bases; Computing normalizing transformations
- Appendix A.1. Classification of term orders; Appendix A.2. Proof of Proposition 5.8
- References
- Index.