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Das ebene Doppelpendel

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IWF (Göttingen)
 Richter, Peter H. Scholz, Hans-Joachim

Formal Metadata

Title
Das ebene Doppelpendel
Alternative Title
The Planar Double Pendulum
Author
License
No Open Access License:
German copyright law applies. This film may be used for your own use but it may not be distributed via the internet or passed on to external parties.
This film contains music to which the collecting society GEMA holds the rights.
Identifiers
IWF SignatureC 1574
Publisher
Release Date
Language
Producer
Production Year1984

Technical Metadata

IWF Technical DataFilm, 16 mm, LT, 306 m ; F, 28 1/2 min

Content Metadata

Subject Area
Abstract
Physikalisches (Realaufnahmen) und mathematisches (Computer-Simulationen) Doppelpendel; ausführliche Diskussion der Bewegungsformen (periodisch, quasi-periodisch, chaotisch) in Abhängigkeit von zahlreichen Ausgangssituationen bei verschiedenen Energieniveaus. Aufbau und Interpretation zugehöriger Poincaré-Schnitte. Darstellung des Zerfalls der "letzten KAM-Linie".
Keywords
IWF Classification
00:00
EnergiePredictionMittlere EnergieComputer animation
01:27
EnergieMathematical modelMassenpunktAngleConfiguration spacePoint (geometry)
02:10
EnergiebereichMathematical modelEnergieComputer animation
02:34
EnergiebereichEnergieComputer animation
02:55
Motion (physics)Conservation lawEnergieComputer animation
03:15
Conservation lawMassenpunktPeriodische BewegungComputer animation
03:39
FrequencyMassenpunktPeriodische BewegungComputer animation
04:23
Plane (geometry)
04:58
SequencePhysical quantityAnfangsbedingungComputer animation
05:43
AnfangsbedingungComputer animation
06:10
Computer animation
06:32
Poincaré, HenriAnfangsbedingungMoment (mathematics)AngleComputer animation
07:20
OscillationAngular momentumPoincaré, HenriAngleConfiguration spaceRepetitionMoment (mathematics)Computer animation
08:39
Dynamic rangeSeries (mathematics)LinieInterface (chemistry)ResonanceCondensationAxiom of choiceAngleConfiguration spaceTrajectoryAnfangsbedingungPoincaré mapAngular momentumOscillationPeriodische BewegungComputer animation
12:06
Equations of motionEnergieAnfangsbedingungPoincaré mapChaos theoryPredictionDynamic rangeCondensationTrajectoryComputer animation
12:54
EnergieLow-energy houseLinieResonanceEigenschwingungPoincaré mapComputer animation
14:53
EnergieResonanceComputer animation
15:54
EnergieResonancePoint (geometry)Computer animation
16:21
EnergiePoincaré mapResonancePoint (geometry)LinieHohe EnergieComputer animation
17:08
ResonanceEnergieLinieComputer animation
17:29
Hohe EnergieResonanceComputer animationPanel painting
17:53
Conservation lawAngular momentumHohe EnergieResonance
18:57
Conservation lawAngular momentumHohe EnergieAngleAbsolute valueComputer animationDiagram
19:30
AngleAbsolute valueComputer animationDiagram
20:05
EnergiePoincaré mapComputer animationDiagram
20:37
EnergieMusical ensembleComputer animationDiagram
20:58
LinieFilm editingGolden ratioMathematicianEnergiePeriodische BewegungGolden ratioResonanceAxiom of choiceIrrational numberAngleNumberAnfangsbedingungAdditionRandMusical ensemblePoint (geometry)Computer animationDiagram
25:23
EnergieOrbitComputer animation
26:07
Dynamic rangeComputer animation
26:31
Computer animation
Transcript: Deutsch(auto-generated)