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Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...


Pages   169
Est. Packaging Dimensions:   Length: 9.2" Width: 6" Height: 0.5"
Weight:   0.45 lbs.
Binding  Softcover
Release Date   Apr 28, 2003
Publisher   Springer
ISBN  3540004033  
ISBN13  9783540004035  


Availability  51 units.
Availability accurate as of Feb 26, 2017 09:36.
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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
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5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis



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