Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases

The Resource Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases

Label

Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases

Title remainder

computing singularities by Gröbner bases

Statement of responsibility

Henk Broer [and others]

Language

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 one-degree-of-freedom system then is tackled 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

Cataloging source

COO

Dewey number

510 s
514/.74

Illustrations

illustrations

Index

index present

LC call number

QA3
QA614.83

LC item number

.L28 no. 1806

Literary form

non fiction

Nature of contents

dictionaries
bibliography

Series statement

Lecture notes in mathematics,

Series volume

1806

Context

Context of Bifurcations in Hamiltonian systems : computing singularities by Gröbner bases

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Context

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