Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
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The work Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
Resource Information
The work Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
 Title remainder
 Computing Singularities by Gröbner Bases
 Statement of responsibility
 by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter
 Language

 eng
 eng
 Summary
 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 onedegreeoffreedom 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
 Dewey number

 510 s
 514/.74
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 Image bit depth
 0
 Language note
 English
 LC call number
 QA614614.97
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1806
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