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Analysis of chaotic behavior in non-...

Piorek, Michal.

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Analysis of chaotic behavior in non-linear dynamical systems = models and algorithms for quaternions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis of chaotic behavior in non-linear dynamical systems/ by Michal Piorek.
Reminder of title:	models and algorithms for quaternions /
Author:	Piorek, Michal.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xi, 132 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Mathematical analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-94887-4
ISBN:	9783319948874

Analysis of chaotic behavior in non-linear dynamical systems = models and algorithms for quaternions /
Piorek, Michal.

Analysis of chaotic behavior in non-linear dynamical systemsmodels and algorithms for quaternions /[electronic resource] :by Michal Piorek. - Cham :Springer International Publishing :2019. - xi, 132 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1602198-4182 ;. - Studies in systems, decision and control ;v.160..

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.

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.

ISBN: 9783319948874

Standard No.: 10.1007/978-3-319-94887-4doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA320

Dewey Class. No.: 003.857

Analysis of chaotic behavior in non-linear dynamical systems = models and algorithms for quaternions /
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100 1 $a Piorek, Michal. $3 3378926
245 1 0 $a Analysis of chaotic behavior in non-linear dynamical systems $h [electronic resource] : $b models and algorithms for quaternions / $c by Michal Piorek.
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505 0 $a 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.
520 $a 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.
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