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Asymptotics for some discretizations of dynamical systems, application to second order systems with nonlocal nonlinearities

Abstract : 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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https://hal-cnam.archives-ouvertes.fr/hal-03278131
Contributor : Thierry Horsin <>
Submitted on : Monday, July 19, 2021 - 3:31:19 PM
Last modification on : Friday, July 23, 2021 - 3:23:27 AM

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  • HAL Id : hal-03278131, version 2

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Thierry Horsin, Mohamed Ali Jendoubi. Asymptotics for some discretizations of dynamical systems, application to second order systems with nonlocal nonlinearities. 2021. ⟨hal-03278131v2⟩

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