| Recommended semester: 1st - 4th semester |
| Scope and form: Lectures, exercises, computer lab sessions. |
Evaluation: Oral exam and approvel of coursework
Project work + oral exam |
| Examination: 13-scale |
| Aim: To provide the participants with a basic understanding of the analysis of non-linear dynamical phenomenae, as well as the theory and application of ordinary differential equations; furthermore through practical exemples to enable them to carry out simulations of dynamical systems using the computer. |
Contents: Phase plane analysis (theoretical and computer assisted) of nonlinear
dynamical systems. Lagrange- and Hamilton dynamics. Perturbation
techniques. Discrete dynamics ('maps'). Bifurcations. Symmetry breaking.
Normal forms. Transitions to chaos. Attractors and their basins.
Stable and unstable manifolds. Lyapunov exponments. |
Remarks: The course runs only in even-numbered years. In odd-numbered years, se course
02653. |
Contact: Poul G. Hjorth, building 303, (+45) 4525 3061, p.g.hjorth@mat.dtu.dk
Hans True, building 305, (+45) 4525 3016, ht@imm.dtu.dk |
| Department: 001 Department of Mathematics |
| Course URL: http://www.mat.dtu.dk/courses/01248 |
| Keywords: Dynamical systems, Bifurcations, Chaos |
| Updated: 29-06-2001 |
