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Analysis of Chaos from Quaternion Time Series - Proposed Methods

  • Michał PiórekEmail author
Chapter
  • 430 Downloads
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 160)

Abstract

In the previous chapter the available methods of nonlinear analysis aiming to detect deterministic chaos have been surveyed. In the related literature, there are a lot of methods for a univariate embedding from scalar time series. The Author see, there are less methods for multivariate embedding and the lack of methods for the embedding of multivariate rotational data time series. The Author see, there are less methods for multivariate embedding and the lack of methods for the embedding of multivariate rotational data time series. In this chapter the new set of methods will be proposed to perform the analysis of chaos in the quaternion’s domain. As per the Author’s knowledge this field is not explored yet and the proposed methods are new approaches.

Keywords

Multivariate Embedding Scalar Time Series Quaternion Domain False Nearest Davis-Bouldin Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Computer EngineeringWrocław University of Science and TechnologyWrocławPoland

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