Dynamical Systems

Module aims

The theory of Dynamical Systems is an important area of mathematics which aims at describing objects whose
state changes over time. For instance, the solar system comprising the sun and all planets is a dynamical
system, and dynamical systems can be found in many other areas such as finance, physics, biology and social
sciences. This course provides a rigorous treatment of the foundations of discrete-time dynamical systems,
which includes the following subjects:
- Periodic orbits
- Topological and symbolic dynamics
- Chaos theory
- Invariant manifolds
- Statistical properties of dynamical systems

Reading list

Supplementary Reading