Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems - Modélisation mathématique et numérique Accéder directement au contenu
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems

Résumé

In this paper we study the asymptotic behaviour of the bounded solution of the following forced system and its discretization $$\varepsilon u''+\vert u'\vert^\alpha u'+\nabla F(u)=g(t)$$ with conditions on F and g. We present similar forced angle conditions for both continuous and discrete cases, and then we apply it to examples from the literature.
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Dates et versions

hal-04637289 , version 1 (05-07-2024)

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  • HAL Id : hal-04637289 , version 1

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Haythem Cheikh. Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems. 2024. ⟨hal-04637289⟩
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