Repository: Freie Universität Berlin, Math Department

Data-driven analysis of complex dynamical systems

Klus, Stefan (2020) Data-driven analysis of complex dynamical systems. Refubium . pp. 1-174.

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Official URL: http://doi:10.17169/refubium-28554


The main focus of this thesis is the data-driven analysis of complex dynamical systems. Although we will consider mainly molecular dynamics and fluid dynamics problems, the presented methods can be applied to arbitrary dynamical systems. In fact, in order to apply these methods, no a priori knowledge about the system is required, only simulation or measurement data. Such data-driven methods got a lot of attention recently due to the availability of large data sets. Gaining insight into the characteristic properties of a system by analyzing such data sets is akin to the metaphorical search for a needle in a haystack. The goal of data-driven methods is to extract relevant information about global properties of the underlying system, whose governing equations might be unknown. Global information can be obtained by analyzing the eigenvalues and eigenfunctions of transfer operators associated with the system.

Item Type:Article
Additional Information:Habilitation Stefan Klus
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2736
Deposited By: Monika Drueck
Deposited On:15 Feb 2022 17:43
Last Modified:15 Feb 2022 17:43

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