TERMIUM Plus®

The Government of Canada’s terminology and linguistic data bank.

FATOU SET [1 record]

Record 1 2010-06-09

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

... for iterations of rational functions in general, the boundary points of one basin of attraction are the boundary points of all basins. These boundary points form a set that is now called a Julia set in Gaston's honor (the complementary set of complex numbers is appropriately called a Fatou set).

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Ensemble [...] obtenu par une méthode itérative très utilisée, la méthode de Newton (approximation de la racine d'une fonction non linéaire).

DEF

Cas particulier d'un ensemble de Julia, construit par l'itération d'une transformation et formant, dans certains cas, une poussière de points déconnectés.

OBS

En 1918, Gaston Julia et Pierre Fatou ont démontré que, pour les itérations de fonctions rationnelles, les points limites d'un bassin d'attraction sont les points limites de tous les bassins d'un plan complexe. Le néologisme «poussière de Fatou» vient de B. Mandelbrot.

Spanish

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