Optimisation methods in transient dynamics

Host Faculty: Engineering
General Subject Area: Applied Mathematics
Project Level: PhD
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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.


Supervisor: Rua Murray

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