Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A3L-A
Session:
Number:A3L-A-4
Complex Network Transformations of Nonlinear Time Series: the Ordinal Partitions Method
Konstantinos Sakellariou, Michael Small, Thomas Stemler, Kevin Judd,
pp.125-128
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Recently several methods which utilise network theory as a tool for nonlinear time series analysis have been developed. Given data from a single measurement process alone, network transformations of time series produce an associated network space. Studying its topology and properties can provide insight regarding the underlying dynamical system. We focus on the so-called ﾂemph{ordinal partitions} method, a technique where nodes encode for symbolic orderings of discrete dynamical states and network connectivity is defined by temporal succession. In contrast to alternative approaches which mainly concentrate on topological aspects, dynamical information is directly encoded into the resulting ﾂemph{ordinal networks}. By applying this technique to data generated by numerical simulation of well-studied systems, we explore how network properties reflect characteristics of the underlying dynamics governing the original time series. Additionally, we perform a parameter investigation.