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Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases: 1806 (Lecture Notes in Mathematics, 1806) - Softcover
Synopsis
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.
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- PublisherSpringer
- Publication date2003
- ISBN 10 3540004033
- ISBN 13 9783540004035
- BindingPaperback
- LanguageEnglish
- Number of pages188
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Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases (Lecture Notes in Mathematics).
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Berlin, Heidelberg: Springer-Verlag, 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
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Broschiert. Condition: Sehr gut. Lecture Notes in Mathematics, Band 1806. Zust: Gutes Exemplar. XIII, 169 Seiten, Englisch 288g. Seller Inventory # 493063
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Bifurcations in Hamiltonian Systems : Computing Singularities by Grobner Bases
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Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases (Lecture Notes in Mathematics, 1806)
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Bifurcations in Hamiltonian Systems - Computing Singularities by Gröbner Bases.
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New York, NY, U.S.A. Springer-Verlag New York, Incorporated, 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
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Softcover. Condition: Gut. Gebraucht - Gut Zustand: Gut, Mängelexemplar, XIII, 169 p. About this book: 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. Written for researchers and graduate students. Seller Inventory # 13562
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Bifurcations in Hamiltonian Systems
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Springer Berlin Heidelberg Feb 2003, 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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, Gröbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems. 188 pp. Englisch. Seller Inventory # 9783540004035
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Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
Published by
Springer Berlin Heidelberg, 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
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Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, Gröbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems. Seller Inventory # 9783540004035
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Bifurcations in Hamiltonian Systems
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Bifurcations in Hamiltonian Systems
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Springer Berlin Heidelberg, 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThe authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplific. Seller Inventory # 4877142
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Bifurcations in Hamiltonian Systems
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Bifurcations in Hamiltonian Systems
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