Studies in Systems, Decision and Control

Analysis of Chaotic Behavior in Non-linear Dynamical Systems

Models and Algorithms for Quaternions

Authors: Piórek, Michał

Free Preview
  • Introduces the first analysis of chaos in the processes described by quaternions 
  • Provides an analysis of chaotic behavior in non-linear dynamical systems using models and algorithms of quaternions 
  • Includes methods that allow not only the detection of deterministic chaos in quaternion time series but also the classification of the nature of the dynamical system, which drives the quaternion time series 
  • Proposes methodology to identify three types of the quaternion time series: random, periodic, and chaotic 
  • Brings additional value by proposing a framework of quaternion clustering, which includes the proposition of a quaternions clustering algorithm along with the measures of the quaternions clustering validity 
  • Tests the quality of quaternion clustering against three parameters of the input data set: real clusters number, overlapping degree, and variance of the data set
see more benefits

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-94887-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-94886-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-94887-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-94886-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Analysis of Chaotic Behavior in Non-linear Dynamical Systems
Book Subtitle
Models and Algorithms for Quaternions
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
160
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-94887-4
DOI
10.1007/978-3-319-94887-4
Hardcover ISBN
978-3-319-94886-7
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XI, 132
Number of Illustrations
27 b/w illustrations, 71 illustrations in colour
Topics