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010   $a3-319-94887-3
024 7 $a10.1007/978-3-319-94887-4
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035   $a(DE-He213)978-3-319-94887-4
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100   $a20180712d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAnalysis of Chaotic Behavior in Non-linear Dynamical Systems $eModels and Algorithms for Quaternions /$fby Micha? Piórek
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XI, 132 p. 98 illus., 71 illus. in color.) 
225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v160
311   $a3-319-94886-5 
327   $aIntroduction -- 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.
330   $aThis book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.
410  0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v160
606   $aComputational complexity
606   $aStatistical physics
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
615  0$aComputational complexity.
615  0$aStatistical physics.
615 14$aComplexity.
615 24$aApplications of Nonlinear Dynamics and Chaos Theory.
676   $a515
700   $aPiórek$b Micha?$4aut$4http://id.loc.gov/vocabulary/relators/aut$0866309
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910337657303321
996   $aAnalysis of Chaotic Behavior in Non-linear Dynamical Systems$91933416
997   $aUNINA