Analysis of Chaos from Quaternion Time Series - Proposed Methods

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.