ALGEBRAIC COMPUTATION OF EIGENVECTORS, SIGNATURES, AND STABILITY OF INFINITESIMALLY SYMPLECTIC MATRICES

Authors
CORDEIRO RR MARTINS RV CANOVA ALF
Citation
Rr. Cordeiro et al., ALGEBRAIC COMPUTATION OF EIGENVECTORS, SIGNATURES, AND STABILITY OF INFINITESIMALLY SYMPLECTIC MATRICES, Celestial mechanics & dynamical astronomy, 67(3), 1997, pp. 215-224
Citations number
9
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
67
Issue
3
Year of publication
1997
Pages
215 - 224
Database
ISI
SICI code
0923-2958(1997)67:3<215:ACOESA>2.0.ZU;2-J
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.(DH)-H-2 for the general problems with two and three degree s of freedom. Furthermore, it is used to calculate the eigenvalues' si gnature and to analyze stability at some equilibrium points of a gener alized Henon-Heille's Hamiltonian by Krein theory.