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Sommaire

cours / présentation

Numbers, computers and dynamical systems

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 t...

Date de création :

09.03.2017

Auteur(s) :

Valérie Berthé

Accéder à la ressource :

Présentation

Informations pratiques

Langue du document : Anglais
Type : cours / présentation
Niveau : master, doctorat
Durée d'exécution : 1 heure 9 minutes 28 secondes
Contenu : vidéo
Document : video/mp4
Poids : 340.33 Mo
Droits d'auteur : libre de droits, gratuit
Droits réservés à l'éditeur et aux auteurs.

Description de la ressource

Résumé

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.

"Domaine(s)" et indice(s) Dewey

  • Computer Science (004)
  • Systèmes dynamiques (003.85)
  • Systèmes chaotiques. Théorie du chaos (003.857)

Domaine(s)

  • Généralités
  • Informatique
  • Informatique
  • 003.85
  • 003.857

Intervenants, édition et diffusion

Intervenants

Fournisseur(s) de contenus : INRIA (Institut national de recherche en informatique et automatique), CNRS - Centre National de la Recherche Scientifique, UNS

Édition

  • INRIA (Institut national de recherche en informatique et automatique)

Diffusion

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Document(s) annexe(s)

Fiche technique

Identifiant de la fiche : 33667
Identifiant OAI-PMH : oai:canal-u.fr:33667
Schéma de la métadonnée : oai:uved:Cemagref-Marine-Protected-Areas
Entrepôt d'origine : Canal-U

Publication : 09.03.2017

géométrie discrète
quasicrystals
computer arithmetics

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