Bifurcations in Hamiltonian Systems - Couverture souple

Couverture souple

ISBN 10 : 3662193353 ISBN 13 : 9783662193358

Editeur : Springer, 2014

Synopsis

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 of freedom. The volume focuses on two such reduction methods, the planar reduction (or polar coordinates) method and the reduction by the energy momentum mapping. The one-degree-of-freedom system then is tackled by singularity theory, where computer algebra, in particular, Gröbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 3662193353
• ISBN 13: 9783662193358
• Reliure: Broché
• Nombre de pages: 188
• Éditeur: Broer Henk, Hoveijn Igor, Lunter Gerton
• Coordonnées du fabricant: KINESIS; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; 22391; Allemagne