Bifurcations in Hamiltonian systems: computing singularities by Gröbner bases
✍ Scribed by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Leaves
- 177
- Series
- Lecture Notes in Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
<p>Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form <EM>n-</EM>parameter families. Hence, without the need for untypical conditions or external par