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Item Details
| Title:
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BIFURCATIONS IN HAMILTONIAN SYSTEMS
COMPUTING SINGULARITIES BY GROBNER BASES |
| By: |
H. W. Broer, Igor Hoveijn, Gerton Lunter |
| Format: |
Paperback |
| List price:
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£31.99 |
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We currently do not stock this item, please contact the publisher directly for
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| ISBN 10: |
3540004033 |
| ISBN 13: |
9783540004035 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
27 February, 2003 |
| Edition: |
2003 ed. |
| Series: |
Lecture Notes in Mathematics v. 1806 |
| Pages: |
172 |
| 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, Grobner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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