Analysis of Chaotic Behavior in Non-linear Dynamical Systems: Models and Algorit

Description: Analysis of Chaotic Behavior in Non-linear Dynamical Systems by Michał Piórek 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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 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. Feature 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 Details ISBN3319948865 Publisher Springer International Publishing AG Series Studies in Systems, Decision and Control Year 2018 ISBN-10 3319948865 ISBN-13 9783319948867 Format Hardcover Imprint Springer International Publishing AG Subtitle Models and Algorithms for Quaternions Place of Publication Cham Country of Publication Switzerland Edition 1st DEWEY 620 Pages 132 Publication Date 2018-07-20 Short Title Analysis of Chaotic Behavior in Non-Linear Dynamical Systems Language English Series Number 160 UK Release Date 2018-07-20 Author Micha Piórek Edition Description 1st ed. 2019 Alternative 9783030069315 Audience Professional & Vocational Illustrations 71 Illustrations, color; 27 Illustrations, black and white; XI, 132 p. 98 illus., 71 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:137723297;

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