| Recommended semester: 7th - 9th semester |
| Scope and form: Lectures, exercises, computer lab sessions. |
Evaluation: Oral exam and approval of reports
Oral exam and project work each count 50%. |
| Examination: 13-scale |
| Previous course: 04421+04426+01248 |
| Prerequisites: DTU mandatory courses in mathematics, fundamental modelling and numerical methods. |
| No credit points with: 01248 |
| Aim: To provide the participants with a basic understanding of the analysis of non-linear dynamical phenomenae, as well as the theory of and application of ordinary differential equations; to enable through practical examples the participants 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 exponents. |
| Remarks: The course is given in collaboration between IMM and MAT (course 01248). |
Contact: Hans True, building 305, (+45) 4525 3016, ht@imm.dtu.dk
Poul G. Hjorth, building 303, (+45) 4525 3061, p.g.hjorth@mat.dtu.dk |
| Department: 002 Informatics and Mathematical Modelling |
| Course URL: http://www.imm.dtu.dk/courses/02653 |
| Keywords: Dynamical systems, bifurcations, chaos |
| Updated: 26-06-2001 |
