Infinite Dimensional Singularly Perturbed Dynamical Systems : Theory and Applications
type: Dataset
description: In this thesis we aim to give tools to understand singular perturbations in epidemic model sand population dynamic models. We study some singularly perturbed delay differential equation which does not enter into the class frame work of geometric singular perturbation for delay differential equations. An example of singularly perturbed age structured model is also studied. The study of these examples allowed us to understand and highlight some complexities of these problems. One of the main tools in understanding such questions is the normally hyperbolic manifolds theory which is our central focus in this thesis. The approach used here is the Lyapunov-Perron method. Therefore the problems of persistence and existence of exponential trichotomy (dichotomy) are also stressed since there are one of the mainingredients of this method.
identifier: NNT: 2013BOR14900
issued: 2026-05-05T11:05:58.605628
language: en
modified: 2026-05-05T11:05:58.605634
contact point: Organization
  fn: CCSD
keyword: age-structured-models
keyword: delay-equations
keyword: dichotomie-exponentielle
keyword: equations-a-retard
keyword: equations-structurees-en-age
keyword: exponential-dichotomy
keyword: exponential-trichotomy
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: normally-hyperbolic-manifolds
keyword: perturbations-singulieres
keyword: singular-perturbations
keyword: theses
keyword: trichotomie-exponentielle
keyword: varietes-normalement-hyperboliques
landing page: https://theses.hal.science/tel-00991857

Infinite Dimensional Singularly Perturbed Dynamical Systems : Theory and Applications
type: Distribution
format: HTML
issued: 2026-05-05T11:05:58.615721
modified: 2026-05-05T11:05:58.589539
access URL: https://theses.hal.science/tel-00991857

test_moissonnage_selune
type: Agent