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Book Cover
E-book
Author Piórek, Michał, author

Title Analysis of chaotic behavior in non-linear dynamical systems : models and algorithms for quaternions / Michał Piórek
Published Cham : Springer, [2019]

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Description 1 online resource
Series Studies in systems, decision and control ; 160
Studies in systems, decision and control ; 160.
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
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
Notes Online resource; title from PDF title page (EBSCO, viewed July 19, 2018)
Subject Mathematical analysis.
Chaotic behavior in systems.
Nonlinear science.
Cybernetics & systems theory.
SCIENCE -- System Theory.
TECHNOLOGY & ENGINEERING -- Operations Research.
Chaotic behavior in systems
Mathematical analysis
Form Electronic book
ISBN 9783319948874
3319948873