Dynamical Systems and Chaos

Topics to be covered in the course include:

- center manifolds for vector fields and maps;

- normal forms for vector fields and maps;

- local bifurcations for vector fields and maps;

- fractional order dynamical systems and their stability;

- continuous and discrete time chaotic systems;

- Liapunov exponents;

- Melnikov's method.

The final grade of the course consists of the following components:

- 1 written assignment (AS) with the passing grade of 6.0, which corresponds to 70% of correctly made exercises, and

- oral exam (OE) with the passing grade being 6.0.

Final grade calculation: 0.4*AS+0.6*OE.

Repair possibilities:

- written assignment: re-submit (parts of) the assignment during the course, the repair grade will be capped at 6.0;

- oral exam: resit in the next quarter.

Disclaimer: information may change depending on unforeseen circumstances or measures (see: TER Art 29, sub 4).