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

Authors

  • Dosso Mouhamadou Université Félix Houphouët-Boigny
  • Traore G. Y. Arouna
  • Jean-Claude Koua Brou

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3574

Keywords:

Symplectic matrices, Isotropic subspaces, Hamiltonian systems, Fundamental solutions, rang-k perturbation, Stability(strong), Mathieu systems

Abstract

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.

 

Author Biography

  • Dosso Mouhamadou, Université Félix Houphouët-Boigny
    Abdiajn

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Published

2019-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Rank-k perturbation of Hamiltonian Systems with Periodic Coefficients and Applications. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1744-1770. https://doi.org/10.29020/nybg.ejpam.v12i4.3574