Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases

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Authors: Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter (auth.)
Publisher: Springer-Verlag Berlin Heidelberg
Pages: 172
Language: english
Year: 2003
ISBN 10: 3540004033
ISBN 13: 9783540004035
Series: Lecture Notes in Mathematics 1806
Edition: 1
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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...