Bifurcations in Hamiltonian Systems: Computing Singularities by Grobner Bases - Lecture Notes in Mathematics - H. W. Broer - Knjige - Springer-Verlag Berlin and Heidelberg Gm - 9783540004035 - 27. februarja 2003
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H. W. Broer
Bifurcations in Hamiltonian Systems: Computing Singularities by Grobner Bases - Lecture Notes in Mathematics 2003 edition

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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.

172 pages, biography

Medij Knjige     Paperback Book   (Knjiga z mehkimi platnicami in lepljenim hrbtom)
Izdano 27. februarja 2003
ISBN13 9783540004035
Založniki Springer-Verlag Berlin and Heidelberg Gm
Strani 172
Dimenzije 156 × 234 × 10 mm   ·   272 g
Jezik Angleščina  

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