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Numerics of Dynamical Systems (MA3333)

Prof. Dr. Oliver Junge, Michael Kratzer

Content

Dynamical Systems are mathematical models of systems which change their state with time. Typical examples are (certain) ordinary or partial differential equations. A basic question for a such system is of course to compute its temporal evolution, given a particular initial condition, i.e. to simulate the system.

Often, however, one is interested in the targeted computation of particular solutions, e.g. equilibrium points (i.e. states which do not change with time), periodic solutions or connecting orbits. In addition, many models from applications exhibit complicated dynamics. Here, the questions is how one can describe the dynamics of such systems over long time spans and how these descriptions can be reliably approximated numerically. These are questions which are being treated in this lecture, tying in with MA 3082 Nonlinear Dynamics.

News

No lecture on Dec 6, 2016 and on Jan 17, 2017.

Lecture

Tutorial

No. DiscussionSorted descending Problem Sheet Additional material
6 2017-01-26 Exercise6.pdf Solution to P6.2
5 2017-01-12 Exercise5.pdf Solution to P5.2
4 2016-12-15 Exercise4.pdf unstable_manifold.m, Solution to P4.2
3 2016-12-01 Exercise3.pdf attractor.m, Solutions to P3.1 and P3.2
2 2016-11-17 Exercise2.pdf Auxiliary functions, Solution to P2.2
1 2016-10-27 Exercise1.pdf  
(No tutorial on 2017-02-09)

Exam

References