TERMIUM Plus®

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HYPERBOLICITY [1 record]

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Record 1 1994-04-28

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

To define a hyperbolic set, we first recall the situation near a hyperbolic fixed point. Basically, there were two ingredients to hyperbolicity, a rate of expansion or contraction, given by the eigenvalues of the Jacobian matrix at the point, and a direction of expansion or contraction, given by the associated eigenvector.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Propriété géométrique qui implique une convergence des trajectoires dans une direction et leur divergence dans une autre direction.

OBS

On la retrouve dans l'attracteur de Hénon et dans la transformation d'un cercle en ellipse, caractérisés par l'étirement des longueurs dans une direction et leur contraction dans la direction perpendiculaire.

PHR

hyperbolicité équilatère.

Spanish

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