The traditional focus of dynamical systems and ergodic theory is on determining asymptotic behaviour (ie infinite time). However, many interesting features are not amenable to this kind of analysis, and important features persist only for finite times (eg "coherent structures" blocking mixing in ocean systems, cells in your body responding to changing ion concentrations). This project will involve numerical work and the development of theory to test out optimisation based methods for computing "locally invariant" structures.

Does the project come with funding

No

Final date for receiving applications

Ongoing