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
Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases
✍ Scribed by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2003
- Tongue
- English
- Leaves
- 177
- Series
- Lecture Notes in Mathematics 1806
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
✦ Subjects
Global Analysis and Analysis on Manifolds; Computational Science and Engineering
📜 SIMILAR VOLUMES
This book provides a comprehensive treatment of Gr bner bases theory embedded in an introduction to commutative algebra from a computational point of view. The centerpiece of Gr bner bases theory is the Buchberger algorithm, which provides a common generalization of the Euclidean algorithm and the G
<p>The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of th