HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities

Abstract :

In the present paper we study the asymptotic behavior of discretized finite dimensional dynamical systems. We prove that under some discrete angle condition and under a Lojasiewicz's inequality condition, the solutions to an implicit scheme converge to equilibrium points. We also present some numerical simulations suggesting that our results may be extended under weaker assumptions or to infinite dimensional dynamical systems.

Document type :
Journal articles
Complete list of metadata

https://hal-cnam.archives-ouvertes.fr/hal-03622761
Contributor : Marie-Liesse Bertram Connect in order to contact the contributor
Submitted on : Tuesday, March 29, 2022 - 11:29:27 AM
Last modification on : Thursday, March 31, 2022 - 3:29:33 AM

Links full text

Identifiers

Collections

Citation

Thierry Horsin, Mohamed Ali Jendoubi. Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities. Communications on Pure & Applied Analysis, American Institute of Mathematical Sciences (AIMS) 2022, 21 (3), pp.999. ⟨10.3934/cpaa.2022007⟩. ⟨hal-03622761⟩

Share

Metrics

Record views

7