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.
Author: | Konstantin FackeldeyORCiD, Peter Koltai, Peter Nevir, Henning Rust, Axel Schild, Marcus Weber |
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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 |
Page Number: | 11 |
Preprint: | urn:nbn:de:0297-zib-66074 |
DOI: | https://doi.org/10.1063/1.5058128 |