Algebraic Computation of Eigenvectors, Signatures, and Stability of Infinitesimally Symplectic Matrices

Details Algebraic Computation of Eigenvectors, Signatures, and Stability of Infinitesimally Symplectic Matrices Algebraic Computation of Eigenvectors, Signatures, and Stability of Infinitesimally Symplectic Matrices

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..67..215c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 67, Issue 3, pp.215-224

Astronomy and Astrophysics

Astronomy

Eigenvectors, Signatures, H&Eacute, Non-Heille'S Hamiltonian

Scientific paper

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.

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