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.
Mots clés
Mathematics Subject Classification 2010 (MSC2010): 34E10 37N30 40A05 35L05 35L70 65L07 Angle condition Lojasiewicz's inequality Discretization single limit-point convergence stability convergence rates
Mathematics Subject Classification 2010 (MSC2010): 34E10
37N30
40A05
35L05
35L70
65L07 Angle condition
Lojasiewicz's inequality
Discretization
single limit-point convergence
stability
convergence rates
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
---|