Bifurcations in Hamiltonian Systems Computing Singularities by Gröbner Bases /

• Κύριοι συγγραφείς: Broer, Henk (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Hoveijn, Igor (http://id.loc.gov/vocabulary/relators/aut), Lunter, Gerton (http://id.loc.gov/vocabulary/relators/aut), Vegter, Gert (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1806
• Θέματα: Global analysis (Mathematics).; Manifolds (Mathematics).; Computer mathematics.; Global Analysis and Analysis on Manifolds.; Computational Science and Engineering.

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...

Πίνακας περιεχομένων:

• 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.