Overview
The field of dynamical systems uses tools from topology and geometry to study systems that change over time and their long-term behaviour. It has applications in physics, chemistry, biology, computer science and economics. This unit will cover fundamental results in dynamical systems and introduce classical examples, stable and unstable manifold … For more content click the Read More button below.
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Dr Andy Hammerlindl
Unit Coordinator(s)
Dr Andy Hammerlindl
Notes
This unit is offered in even numbered years (e.g. 2024, 2026).
Learning outcomes
On successful completion of this unit, you should be able to:
1.
Identify and analyse different types of dynamical behaviour, both chaotic and non-chaotic;
2.
Prove results about dynamical systems using topological arguments and reasoning;
3.
Investigate dynamical systems using numerical methods on a computer;
4.
Apply dynamical systems theory to other areas of mathematics and the sciences;
5.
Communicate mathematical ideas relating to dynamical systems in a clear, precise and rigorous manner.