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Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases /

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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 a...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Broer, H. W. (Hendrik Wolter), 1950-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [2003]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1806.
Subjects:
Hamiltonian systems.
Bifurcation theory.
Singularities (Mathematics)
Gröbner bases.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • I. Applications: Methods I: Planar reduction; Method II: The energy-momentum map
  • II. Theory: Birkhoff Normalization; Singularity Theory; Grbner bases and Standard bases; Computing normalizing transformations
  • Appendix A.1. Classification of term orders; Appendix A.2. Proof of Proposition 5.8
  • References
  • Index.