Analysis of Chaotic Behavior in Non-linear Dynamical Systems: Models and Algorithms for Quaternions
Author:   Michał Piórek
Publisher:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2019
Volume:   160
ISBN:  

9783030069315


Pages:   132
Publication Date:   28 December 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Analysis of Chaotic Behavior in Non-linear Dynamical Systems: Models and Algorithms for Quaternions


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Overview

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.

Full Product Details

Author:   Michał Piórek
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2019
Volume:   160
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783030069315


ISBN 10:   3030069311
Pages:   132
Publication Date:   28 December 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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