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Carte Bifurcations in Hamiltonian Systems Broer Henk Broer

Bifurcations in Hamiltonian Systems

Computing Singularities by Grobner Bases

Autor: Broer Henk Broer, Hoveijn Igor Hoveijn, Lunter Gerton Lunter
Limbă: engleză
Legare: Carte broșată
Editura: Springer Nature B.V.
Disponibilitate: În depozitul extern
Expediem în 10-18 zile
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The authors consider applications of singularity theory and computer algebra to bifurcations of Hami...

Informații despre carte

Autor
Broer Henk Broer, Hoveijn Igor Hoveijn, Lunter Gerton Lunter
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2014
Pagini
188
EAN
9783662193358
Enbook ID
43423484
Editura
Springer Nature B.V.
Greutate
273
Dimensiuni
156 x 234

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.