TERMIUM Plus®

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BIFURCATION HOPF [1 record]

Record 1 2000-08-29

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

... a new type of bifurcation occurs in higher dimensions, namely the Hopf bifurcation. This bifurcation occurs when the derivative at a fixed point is a rotation, i.e., the multipliers are complex of modulus one.

CONT

... Hopf bifurcation, i.e. the fixed point becomes unstable and gives birth to an invariant circle which is attractive.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Bifurcation qui apparaît lorsqu'un point donne naissance à une cycle limite par franchissement d'une valeur critique.

OBS

Arnold préfère appeler cette bifurcation, bifurcation de Poincaré-Andronov. Nous nous en tiendrons à la terminologie de bifurcation de Hopf, qui est plus courante dans la littérature occidentale.

Spanish

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