ALGEBRAIC COMPUTATION OF EIGENVECTORS, SIGNATURES, AND STABILITY OF INFINITESIMALLY SYMPLECTIC MATRICES |
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| Authors: | RR CORDEIRO ALF CANOVA R VIEIRA MARTINS |
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| Institution: | 1. Departmento de Física, Universidade Federal de Vi?osa, 36571.000, Vi?osa, Brazil
2. Departamento de Astronomia, Observatório Nacional, Rua Gen. José Cristino, 77, 20921.400, Rio de Janeiro, Brazil
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| Abstract: | A procedure to compute the algebraic expression for eigenvectors using algebraic manipulators associated with numerical checks
is presented. This method is applied to the computation of the eigenvectors of the matrices J·D2H for the general problems with two and three degrees of freedom. Furthermore, it is used to calculate the eigenvalues‘ signature
and to analyze stability at some equilibrium points of a generalized Hénon-Heille's Hamiltonian by Krein theory.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Eigenvectors signatures Hénon-Heille's Hamiltonian |
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