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

Autor:	Traoré G. Y. Arouna, Jean-Claude Koua Brou, Dosso Mouhamadou
Rok vydání:	2019
Předmět:	Statistics and Probability Numerical Analysis Algebra and Number Theory Applied Mathematics Perturbation (astronomy) Spectral line Theoretical Computer Science Hamiltonian system Ion Quadrupole Canonical form Geometry and Topology Mathematical physics Mathematics Symplectic geometry
Zdroj:	European Journal of Pure and Applied Mathematics. 12:1744-1770
ISSN:	1307-5543
Popis:	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.Â
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::14ac3030eb91f4f1fb5539b43a923392 https://doi.org/10.29020/nybg.ejpam.v12i4.3574 Zobrazit plný text záznamu Plný text ve formátu PDF