Item description for Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases (Lecture Notes in Mathematics) by Henk Broer...
The authorsconsider 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 istackled by singularity theory, where computer algebra, in particular, Grbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems.
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Est. Packaging Dimensions: Length: 9.2" Width: 6" Height: 0.5" Weight: 0.45 lbs.
Release Date Apr 28, 2003
ISBN 3540004033 ISBN13 9783540004035
Availability 51 units. Availability accurate as of Apr 28, 2017 12:16.
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