From metastable to coherent sets - Time-discretization schemes

  • In this article, we show that these well-established spectral algorithms (like PCCA+, Perron Cluster Cluster Analysis) also identify coherent sets of non-autonomous dynamical systems. For the identification of coherent sets, one has to compute a discretization (a matrix T) of the transfer operator of the process using a space-time-discretization scheme. The article gives an overview about different time-discretization schemes and shows their applicability in two different fields of application.

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Metadaten
Author:Konstantin Fackeldey, Peter Koltai, Peter Nevir, Henning Rust, Axel Schild, Marcus Weber
Document Type:Article
Parent Title (English):Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume:29
First Page:012101
Last Page:012101
Year of first publication:2019
Pagenumber:11
Preprint:urn:nbn:de:0297-zib-66074
DOI:https://doi.org/10.1063/1.5058128