Asymptotics for some discretizations of dynamical systems, application to second order systems with nonlocal nonlinearities
Résumé
In the present paper we study the asymptotic behavior of discretized finite dimen-
sional dynamical systems. We prove that under some discrete angle condition and
under a Lojasiewicz’s inequality condition, the solutions to an implicit scheme con-
verge to equilibria points. We also present some numerical simulations suggesting
that our results may be extended under weaker assumptions or to infinite dimensional
dynamical systems.
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Origine | Fichiers produits par l'(les) auteur(s) |
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Origine | Fichiers produits par l'(les) auteur(s) |
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