Conférence
Notice
Lieu de réalisation
Sophia Antipois
Langue :
Anglais
Crédits
CNRS - Centre National de la Recherche Scientifique (Publication), INRIA (Institut national de recherche en informatique et automatique) (Production), INRIA (Institut national de recherche en informatique et automatique) (Publication), UNS (Publication), Valérie Berthé (Intervention)
Conditions d'utilisation
Droit commun de la propriété intellectuelle
DOI : 10.60527/htqj-rn56
Citer cette ressource :
Valérie Berthé. Inria. (2017, 9 mars). Numbers, computers and dynamical systems. [Vidéo]. Canal-U. https://doi.org/10.60527/htqj-rn56. (Consultée le 19 mars 2024)

Numbers, computers and dynamical systems

Réalisation : 9 mars 2017 - Mise en ligne : 9 février 2016
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Descriptif

A discrete dynamical system is defined as a set of states on which a transformation acts, considered as an evolution rule. The terminology discrete refers to the time that is discretized: at time n corresponds the nth iteration of this transformation.Dynamical systems are widely studied, for their modelling as well as for their computation power.

We will focus here more specifically on trajectories of chaotic dynamical system from a computer science viewpoint (finite or periodic trajectories). A classical example is provided by the links between the Gauss map, continued fractions and Euclid’s algorithm. We will also consider various application fields such as discrete geometry, quasicrystals, or else, computer arithmetics.

Intervention

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