On rank one perturbations of Hamiltonian system with periodic coefficients

2016/01/25 by Mouhamadou Dosso, Dosso, Mouhamadou, Arouna G. Y. Traore +3
Computer Science · Mathematics · Physics and Astronomy · #15A21 #15A63 #47A55 #93B10 #93C73 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1601.06729

openalex publication_date 2016/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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