Analysis of Chaotic Behavior in Non-linear Dynamical Systems

Models and Algorithms for Quaternions

Michał Piórek (Autor)

Buch | Softcover

XI, 132 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-06931-5 (ISBN)

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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.

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.

Erscheinungsdatum	17.01.2019
Reihe/Serie	Studies in Systems, Decision and Control
Zusatzinfo	XI, 132 p. 98 illus., 71 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	231 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Technik
Schlagworte	Chaos • Complexity • Deterministic Chaos • Dynamics Systems • Non-linear Dynamical Systems • Nonlinear Systems • Quaternion Models • Quaternions Clustering • Quaternion Time Series
ISBN-10	3-030-06931-1 / 3030069311
ISBN-13	978-3-030-06931-5 / 9783030069315
Zustand	Neuware