Details of talk
|Title||Characterising the behaviour of coherent sets in non-autonomous dynamical systems|
|Presenter||Chantelle Blachut (The University of Queensland)|
It has been shown that the singular value decomposition (SVD) of a transfer operator induced by a given dynamical system, can be thought of as a multi-layered characterisation of the system for the given time interval. Such a decomposition is useful for identifying coherent sets about which chaotic flows ensue. The term coherent sets refers to regions of phase space that exhibit minimal dispersion over the time period considered. This work presents results of numerical investigations of a Perron-Frobenius cocycle which describes the dynamics of a non-autonomous system. Our analysis yields important information about how coherent structures manifest themselves within singular vectors, and how they evolve in the presence of an underlying chaotic flow.