Various objects central to the characterisation and analysis of possibly complex dynamical systems cannot be computed with pen and paper, and need to be approximated numerically. They include chaotic attractors, fractals, Lyapunov exponents, basins of attraction, bifurcation diagrams, and persistent modes, just to name a few. In this seminar we are going to review such topics by discussing key notions of the corresponding theory that are then applied to celebrated examples such as the Lorenz attractor or the Feigenbaum diagram, involving numerical linear algebra and methods for differential equations.

For topic allocation for a presentation early in the semester, please contact the lecturers well ahead of time.