Analysis of Chaotic Behavior in Non-linear Dynamical Systems Models and Algorithms for Quaternions /

This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments pe...

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Bibliographic Details
Main Author: Piórek, Michał (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Studies in Systems, Decision and Control, 160
Subjects:
Dynamics.
Nonlinear theories.
Nonlinear Optics.
Applied Dynamical Systems.
Online Access:Full-text access
Table of Contents:
  • Introduction
  • Processes described by quaternion models
  • Deterministic chaos properties
  • Analysis of chaos from time series-existing methods survey
  • Analysis of chaos from quaternion time series-proposed methods
  • Numerical Experiments
  • Analysis of chaos for quaternion time series
  • Comparison against existing approaches
  • Quaternions clustering
  • Summary.

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