241035 Chaotische Dynamik (V) (WiSe 2013/2014)
Contents, comment
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Die wiederholte Anwendung einfacher Abbildungen
x -> f(x) -> f(f(x)) ...
bzw. die Lösungen gewöhnlicher Differentialgleichungen
liefern häufig eine sehr komplexe Dynamik.Berühmte Beispiele sind das Lorenz-System, mit dem
Edward N. Lorenz die Unvorhersagbarkeit von
Wetterphänomenen demonstrierte oder die logistische
Abbildung f(x) = a*x*(1-x).
Beide Modelle zeigen für gewisse Parameterkonstellationen
eine chaotische Dynamik.In meiner Vorlesung werden verschiedene Möglichkeiten
zur Formalisierung des Chaosbegriffs vorgestellt.
Wichtige Konsequenzen werden diskutiert und anhand von
charakteristischen Beispielen illustriert.
Requirements for participation, required level
-
Vorausgesetzt werden solide Kenntnisse der Analysis,
der gewöhnlichen Differentialgleichungen
und der linearen Algebra.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mi | 14-16 | V5-148 | 14.10.2013-07.02.2014
not on: 12/25/13 / 1/1/14 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 3 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 3 | Student information | |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) -Typ 3 | Student information | |
| - | Graded examination | Student information |
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- lecture (V) / 2
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- Faculty of Mathematics
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