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

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2003. gada 27. februāris
ISBN13 9783540004035
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 172
Izmēri 156 × 234 × 10 mm   ·   272 g
Valoda Angļu  

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