On rank one perturbations of Hamiltonian system with periodic coefficients

From a theory developed by C. Mehl, et al., a theory of the rank one perturbation of Hamiltonian systems with periodic coefficients is proposed. It is showed that the rank one perturbation of the fundamental solution of Hamiltonian system with periodic coefficients is solution of its rank one pertur...

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Dosso, Mouhamadou, Arouna G Y Traore, Jean-Claude Koua Brou
Format: Article
Language:English
Subjects:
Coefficients
Hamiltonian functions
Perturbation methods
Online Access:Get full text
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Summary:From a theory developed by C. Mehl, et al., a theory of the rank one perturbation of Hamiltonian systems with periodic coefficients is proposed. It is showed that the rank one perturbation of the fundamental solution of Hamiltonian system with periodic coefficients is solution of its rank one perturbation. Some results on the consequences of the strong stability of these types of systems on their rank one perturbation is proposed. Two numerical examples are given to illustrate this theory.
ISSN:2331-8422