步态时间序列的神经网络模拟和混沌检测
摘要
本文应用研究小样本时间序列的神经网络方法估计一类混沌时间序列,步态时间序列的李亚普诺夫指数,相关维数和相关熵。给出了步态时间序列复杂性的判据。
引文
[1]Costa,M.,Peng,C.-K.,Goldberger,A.L.,Hausdorff,J.M.Multiscale entropy analysis of human gait dynamics,Physica A,2003.
[2]Ramsey,J.and H.Yuan,Bias and Error Bias in Dimension Calculation and Their Evaluation in Some Simple Models,Physical Letters A,1989.
[3]Miller,D.J.,Stergiou,N.,Kurz,M.J.,An improved surrogate method for detecting the presence of chaos in gait.Journal of Biomechanics,2006.
[4]Casdagli,M.Nonlinear prediction of chaotic time series.Physica D,1989.
[5]Bugmann,G.Normalized Gaussian radial basis function networks.Neurocomputing,1998.
[6]Haykin,S.Neural Networks—A Comprehensive Foundation.Prentice Hall,New Jersey,USA,1998.
[7]Jayawardena,A.W.,Li,W.K.&Xu,P.Neighbourhood selection for local modelling and prediction of hydrological time series.J.Hydrol,2002.
[8]Kantz,H.&Schreiber,T.Nonlinear Time Series Analysis.Cambridge University Press,Cambridge,UK,1997.
[2]Ramsey,J.and H.Yuan,Bias and Error Bias in Dimension Calculation and Their Evaluation in Some Simple Models,Physical Letters A,1989.
[3]Miller,D.J.,Stergiou,N.,Kurz,M.J.,An improved surrogate method for detecting the presence of chaos in gait.Journal of Biomechanics,2006.
[4]Casdagli,M.Nonlinear prediction of chaotic time series.Physica D,1989.
[5]Bugmann,G.Normalized Gaussian radial basis function networks.Neurocomputing,1998.
[6]Haykin,S.Neural Networks—A Comprehensive Foundation.Prentice Hall,New Jersey,USA,1998.
[7]Jayawardena,A.W.,Li,W.K.&Xu,P.Neighbourhood selection for local modelling and prediction of hydrological time series.J.Hydrol,2002.
[8]Kantz,H.&Schreiber,T.Nonlinear Time Series Analysis.Cambridge University Press,Cambridge,UK,1997.