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Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 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.  2, record 1, English, - Hopf%20bifurcation

Record number: 1, Textual support number: 2 CONT

... Hopf bifurcation, i. e. the fixed point becomes unstable and gives birth to an invariant circle which is attractive.  3, record 1, English, - Hopf%20bifurcation

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 DEF

Bifurcation qui apparaît lorsqu'un point donne naissance à une cycle limite par franchissement d'une valeur critique.  2, record 1, French, - bifurcation%20de%20Hopf

Record number: 1, Textual support number: 1 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.  2, record 1, French, - bifurcation%20de%20Hopf

Record 1,  Textual support,  Spanish