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.

Hamiltonian system, symplectic matrix, perturbations, strong stability

Received: November 22, 2024; Accepted: December 30, 2024; Published: February 12, 2025

How to cite this article: Traoré G. Y. AROUNA, Famane KAMBIRE and Sylvestre P. EKRA, Perturbation analysis of symplectic matrix, International Journal of Numerical Methods and Applications 25(1) (2025), 187-209. https://doi.org/10.17654/0975045225008

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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