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| Transport and mixing properties of nonautonomous dynamical systems over a finite-time interval can be described in the framework of finite-time coherent sets. These are regions in phase space that remain coherent while being minimally dispersive over the considered time span. Coherent sets can be efficiently detected and approximated numerically by set-oriented, transfer operator based methods. Here we will demonstrate the effects of finite-time duration, diffusion and directionality on the resulting structures and discuss several different constructions that are appropriate for evolving coherent sets in time. |
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