Hopfbifurcation.png
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Summary
| Description |
English:
Dynamics of the Hopf bifurcation near
. Possible trajectories in red, stable structures in dark blue and unstable structures in dashed light blue. Supercritical Hopf bifurcation: 1a) stable fixpoint 1b) instable fixpoint, stable limit cycle 1c) phase space dynamics. Subcritical Hopf bifurcation: 2a) stable fixpoint, unstable limit cycle 2b) instable fixpoint 2c) phase space dynamics.
determines the angular dynamics and therefore the direction of winding for the trajectories.
Deutsch:
Dynamik der Hopf-Bifurkation nahe
. Mögliche Trajektorien in Rot, stabile Strukturen in Dunkelblau, instabile Strukturen in gestricheltem Hellblau. Superkritische Hopf-Bifurkation: 1a) stabiler Fixpunkt 1b) instabiler Fixpunkt, stabiler Grenzzyklus 1c) gesamter Phasenraum. Superkritische Hopf bifurcation: 2a) stabiler Fixpunkt, instabiler Grenzzyklus 2b) instabiler Fixpunkt 2c) gesamter Phasenraum.
bestimmt die Rotation der Trajektorien und damit auch die Windungsrichtung.
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| Date | |
| Source | Own work |
| Author | Hannes Vogel |
Adapted from Hannes Vogel (2019): Formulation of Voltage Dynamics in Complex Quantities, bachelor thesis
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