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020 _a9783319948874
_9978-3-319-94887-4
024 7 _a10.1007/978-3-319-94887-4
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
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082 0 4 _a515.39
_223
100 1 _aPiórek, Michał.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957100
245 1 0 _aAnalysis of Chaotic Behavior in Non-linear Dynamical Systems
_h[electronic resource] :
_bModels and Algorithms for Quaternions /
_cby Michał Piórek.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXI, 132 p. 98 illus., 71 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v160
505 0 _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.
520 _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.
650 0 _aDynamics.
_957101
650 0 _aNonlinear theories.
_93339
650 0 _aNonlinear Optics.
_911414
650 1 4 _aApplied Dynamical Systems.
_932005
650 2 4 _aNonlinear Optics.
_911414
710 2 _aSpringerLink (Online service)
_957102
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319948867
776 0 8 _iPrinted edition:
_z9783319948881
776 0 8 _iPrinted edition:
_z9783030069315
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v160
_957103
856 4 0 _uhttps://doi.org/10.1007/978-3-319-94887-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79874
_d79874