03033nam 22005175 450 991033765730332120200705064943.03-319-94887-310.1007/978-3-319-94887-4(CKB)4100000005248493(DE-He213)978-3-319-94887-4(MiAaPQ)EBC5452414(PPN)229501850(EXLCZ)99410000000524849320180712d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAnalysis of Chaotic Behavior in Non-linear Dynamical Systems Models and Algorithms for Quaternions /by Michał Piórek1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XI, 132 p. 98 illus., 71 illus. in color.) Studies in Systems, Decision and Control,2198-4182 ;1603-319-94886-5 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.Studies in Systems, Decision and Control,2198-4182 ;160Computational complexityStatistical physicsComplexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Applications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Computational complexity.Statistical physics.Complexity.Applications of Nonlinear Dynamics and Chaos Theory.515Piórek Michałauthttp://id.loc.gov/vocabulary/relators/aut866309MiAaPQMiAaPQMiAaPQBOOK9910337657303321Analysis of Chaotic Behavior in Non-linear Dynamical Systems1933416UNINA