On the use of a Euclidean norm function for the estimation of local dynamic stability from 3D kinematics using time-delayed Lyapunov analyses
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- 作者：Shawn M. Beaudettea ; sbeaudet@uoguelph.ca" class="auth_mail" title="E-mail the corresponding author ; Samuel J. Howarthb ; showarth@cmcc.ca" class="auth_mail" title="E-mail the corresponding author ; Ryan B. Grahamc ; Ryan.Graham@uottawa.ca" class="auth_mail" title="E-mail the corresponding author ; Stephen H.M. Browna ; shmbrown@uoguelph.ca" class="auth_mail" title="E-mail the corresponding author
- 关键词：Euclidean norm ; Non-linear dynamics ; Kinematics ; Local dynamic stability ; Lyapunov exponent ; New method
- 刊名：Medical Engineering & Physics
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：38
- 期：10
- 页码：1139-1145
- 全文大小：1301 K
文摘
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To estimate local dynamic stability (LDS) state-space reconstruction is necessary.
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The Euclidean norm function (N) can be used to collate the dynamics of a 3D system.
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With N, non-linear transformations can occur, skewing Lyapunov exponents (λmax).
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λmax estimate error can be reduced by eliminating zero-crossings in kinematic data.
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3D components should be shifted completely into positive space prior to applying N.