PERTURBATION ANALYSIS OF SYMPLECTIC MATRIX
Keywords:
Hamiltonian system, symplectic matrix, perturbations, strong stabilityDOI:
https://doi.org/10.17654/0975045225008Abstract
Starting a theory of perturbation introduced by Arouna et al. [1], perturbations $H$ preserving the $J$-symplecticity structure of a symplectic matrix are presented. Results on the consequences of the effect of a rank-$k$ perturbation on the strong stability of this type of matrix are proposed. Two numerical examples are given to analyze the effect of these perturbations on the strong stability and spectrum of symplectic matrices.
Received: November 22, 2024
Accepted: December 30, 2024
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