Rank-k perturbation of Hamiltonian Systems with Periodic Coefficients and Applications

Jordan canonical forms of a rank-k  perturbation of  symplectic matrices and the fundamental solutions of  Hamiltonian systems are presented on the basis of work done by  C. Mehl et, al.. Small  rank-k  perturbations of Mathieu systems are analyzed. More precisely, it is shown that the rank-k...

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Bibliographic Details
Published in:European journal of pure and applied mathematics 2019-01, Vol.12 (4), p.1744-1770
Main Authors: Mouhamadou, Dosso, Arouna, Traore G. Y., Brou, Jean-Claude Koua
Format: Article
Language:English
Online Access:Get full text
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Summary:Jordan canonical forms of a rank-k  perturbation of  symplectic matrices and the fundamental solutions of  Hamiltonian systems are presented on the basis of work done by  C. Mehl et, al.. Small  rank-k  perturbations of Mathieu systems are analyzed. More precisely, it is shown that the rank-k  perturbations of coupled or non-coupled  double pendulums and the motion of an ion through a quadrupole analyzer slightly perturb the behavior of their spectra and their stabilities. 
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v12i4.3574