Könyv Bifurcations in Hamiltonian Systems H. Broer

Bifurcations in Hamiltonian Systems

Computing Singularities by Gröbner Bases

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
13 708 Ft
The authors consider applications of singularity theory and computer algebra to bifurcations of Hami...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2003
oldal
172
EAN
9783540004035
ISBN
3540004033
Enbook ID
01556115
Súly
286
Méretek
156 x 234 x 10

Teljes leírás

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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