Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases

by Henk W. Broer

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 allows approximation by a normalized Hamiltonian system with a torus symmetry. It is assumed that reduction by this symmetry leads to a system with one degree...

• Format: Paperback
• Language: English
• ISBN: 3540004033
• ISBN13: 9783540004035
• Release Date: February 2003
• Publisher: Springer
• Length: 172 Pages
• Weight: 0.60 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"