Analysis of Chaotic Behavior in Non-linear Dynamical Systems

Models and Algorithms for Quaternions

  • Michał Piórek

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 160)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Michał Piórek
    Pages 1-5
  3. Michał Piórek
    Pages 7-17
  4. Michał Piórek
    Pages 19-34
  5. Michał Piórek
    Pages 65-71
  6. Michał Piórek
    Pages 73-88
  7. Michał Piórek
    Pages 89-110
  8. Michał Piórek
    Pages 111-121
  9. Michał Piórek
    Pages 123-125
  10. Back Matter
    Pages 127-132

About this book


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 performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.


Quaternion Models Non-linear Dynamical Systems Dynamics Systems Nonlinear Systems Chaos Deterministic Chaos Quaternion Time Series Quaternions Clustering

Authors and affiliations

  • Michał Piórek
    • 1
  1. 1.Department of Computer EngineeringWrocław University of Science and TechnologyWrocławPoland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-94886-7
  • Online ISBN 978-3-319-94887-4
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site