Bifurcations in Hamiltonian Systems

Name: Bifurcations in Hamiltonian Systems
Brand: Springer, Berlin
SKU: 9783540004035
Price: 193.68 RON
Availability: InStock

Computing Singularities by Gröbner Bases

Autor: H. Broer, I. Hoveijn, G. Lunter

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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The authors consider applications of singularity theory and computer algebra to bifurcations of Hami...

Informații despre carte

Autor

H. Broer, I. Hoveijn, G. Lunter

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2003

Pagini

172

EAN

9783540004035

ISBN

3540004033

Enbook ID

01556115

Editura

Springer, Berlin

Greutate

286

Dimensiuni

156 x 234 x 10

Descriere completă

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.

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Bifurcations in Hamiltonian Systems

Computing Singularities by Gröbner Bases

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Descriere completă

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