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Network analyses of nonlinear time series and complex spatial structures

Laut, Ingo (2014) Network analyses of nonlinear time series and complex spatial structures. Master's, Ludwig-Maximilians-Universität München.

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Abstract

A test for nonlinearity based on network measures of recurrence networks is proposed and compared to a powerful measure for nonlinearity, namely the nonlinear prediction error. Simulated time series from the Lorenz System and light curves from Active Galactic Nuclei are studied. The new test based on networks shows similar discrimination power. Both tests detect induced phase correlations in so-called surrogate data produced by two established algorithms. In a second part, two promising applications of network analysis to complex plasma clusters are described. The detection of vertical strings with the aid of a community-finding algorithm has proven an elegant way of examining stable units in complex structures. Network analysis also enables a throughout study of the global structure of the clusters. For the relatively small clusters of about 60 particles a significant diverence between the well-studied case of nonrotating clusters and dynamically driven clusters is demonstrated.

Item URL in elib:https://elib.dlr.de/95537/
Document Type:Thesis (Master's)
Title:Network analyses of nonlinear time series and complex spatial structures
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Laut, IngoDLR Research Group Complex Plasma, OberpfaffenhofenUNSPECIFIED
Date:2014
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:65
Status:Unpublished
Keywords:network analysis, time series analysis, compex systems, complex plasma
Institution:Ludwig-Maximilians-Universität München
Department:Fakultät für Physik
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Komplexe Plasmen / Data analysis
Location: Oberpfaffenhofen
Institutes and Institutions:Research Group Complex Plasma
Deposited By: Laut, Ingo
Deposited On:06 Mar 2015 12:46
Last Modified:31 Jul 2019 19:52

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