Reducibility and Floquet Theory for Nonlinear Differentials Systems
type: Dataset
description: We use a Floquet theory for quasi-periodic linear ordinary differential equations due to Zhensheng Lin to obtain results, of existence, unicity, continuous and differentiable dependence, on the quasi-periodic solutions of quasi-periodic nonlinear ordinary differential equations. in a second time we establish the reducibility of linear systems of almost periodic differential equations into upper triangular systems of a.p. differential equations. This is done while the number of independent a. p. solutions is conserved. We prove existence and uniqueness of a. p. solutions of a nonlinear system with an a.p. linear part. Also we prove the continuous dependence of a.p. solutions of a nonlinear system with respect to an a.p. control term.
issued: 2026-05-06T05:39:11.485809
language: fr
modified: 2026-05-06T05:39:11.485814
contact point: Organization
  fn: CCSD
keyword: almost-periodic-functions
keyword: edo-non-lineaire
keyword: edo-nonlinear
keyword: floquet-theory
keyword: fonctions-presque-periodiques
keyword: fonctions-quasi-periodiques
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-dsmathematics-mathdynamical-systems-mathds
keyword: quasi-periodic-functions
keyword: reducibility
keyword: reductibilite
keyword: theorie-de-floquet
keyword: theses
landing page: https://theses.hal.science/tel-00952406

Reducibility and Floquet Theory for Nonlinear Differentials Systems
type: Distribution
format: HTML
issued: 2026-05-06T05:39:11.505180
modified: 2026-05-06T05:39:11.474377
access URL: https://theses.hal.science/tel-00952406

test_moissonnage_selune
type: Agent