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 Henon-Heille's Hamiltonian by Krein theory.
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