mat570 - Dynamical Systems
Module label | Dynamical Systems |
Modulkürzel | mat570 |
Credit points | 6.0 KP |
Workload | 180 h |
Institute directory | Department of Mathematics |
Verwendbarkeit des Moduls |
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Zuständige Personen |
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Prerequisites | |
Skills to be acquired in this module |
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Module contents | Diskrete dynamische Systeme, ein- und mehrdimensionale Iterationen, Bifurkation und Chaos. Dynamik gewöhnlicher Differentialgleichungen, Omega-Limes Mengen, Attraktoren, dissipative und Hamilton'sche Systeme. |
Literaturempfehlungen | R.L. Devaney. An Introduction to chaotic dynamical systems, Addison-Wesley Publishing Company, 1989. J.K. Hale/H. Kocak. Dynamics and bifurcations, Springer-Verlag, 1991. K.R. Meyer/ G.R. Hall. Introduction to Hamiltonian dynamical systems and the N-Body problem, Applied Mathematical Sciences, 90. Springer-Verlag, 1992. F. Verhulst. Nonlinear differential equations and dynamical systems. Springer-Verlag, Berlin 1996. S. Wiggins. Global bifurcations and chaos. Analytical methods. Applied Mathematical Sciences, 73. New York etc.: Springer-Verlag 1988. |
Links | |
Languages of instruction | German, English |
Duration (semesters) | 1 Semester |
Module frequency | unregelmäßig |
Module capacity | unlimited |
Reference text | Studienschwerpunkt: A, C |
Lehrveranstaltungsform | Comment | SWS | Frequency | Workload of compulsory attendance |
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Lecture | 3 | -- | 42 | |
Exercises | 1 | -- | 14 | |
Präsenzzeit Modul insgesamt | 56 h |
Examination | Prüfungszeiten | Type of examination |
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Final exam of module | nach Ende der Vorlesungszeit |
KL |