File: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. |
| 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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| current | 15:28, 1 July 2020 | | 2,649 × 1,512 (255 KB) | W.pseudon | Labels for alpha changed since old version had a different sign convention |
| 15:04, 11 January 2020 |  | 2,649 × 1,512 (255 KB) | W.pseudon | User created page with UploadWizard |
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