File:Hopfeigenvalues.png

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Deutsch: Komplexe Eigenwerte einer beliebigen Abbildung (Punkte). Bei der Hopf-Bifurkation überquert ein Paar komplex konjugierter Eigenwerte die imaginäre Achse.
English: Complex eigenvalues of an arbitrary map (dots). In case of the Hopf bifurcation, two complex conjugate eigenvalues cross the imaginary axis.
Français : Bifurcation de Hopf, une paire de valeurs propres complexes conjuguées de la linéarisation autour du point fixe franchissent l'axe imaginaire du plan complexe
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Source Own work
Author Hannes Vogel

Adapted from Hannes Vogel (2019): Formulation of Voltage Dynamics in Complex Quantities, bachelor thesis

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Eigenvalues crossing imaginary axis at Hopf bifurcation

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11 January 2020

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