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

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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.

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Authors and Affiliations

  1. Departmento de Física, Universidade Federal de Viçosa, 36571.000, Viçosa, Brazil

    R.R. CORDEIRO & A.L.F CANOVA

  2. Departamento de Astronomia, Observatório Nacional, Rua Gen. José Cristino, 77, 20921.400, Rio de Janeiro, Brazil

    R. VIEIRA MARTINS

Authors
  1. R.R. CORDEIRO
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  2. A.L.F CANOVA
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  3. R. VIEIRA MARTINS
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CORDEIRO, R., CANOVA, A. & VIEIRA MARTINS, R. ALGEBRAIC COMPUTATION OF EIGENVECTORS, SIGNATURES, AND STABILITY OF INFINITESIMALLY SYMPLECTIC MATRICES. Celestial Mechanics and Dynamical Astronomy 67, 215–224 (1997). https://doi.org/10.1023/A:1008294103763

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  • DOI: https://doi.org/10.1023/A:1008294103763

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