D S Broomhead et al 1987 J. Phys. A: Math. Gen. 20 L563 doi:10.1088/0305-4470/20/9/003
Topological dimension and local coordinates from time series data
D S Broomhead, R Jones and G P King
Show affiliationsA method for the estimation of the topological dimension of a manifold from time series data is presented. It is based on the approximation of the manifold near a point chi by its tangent space at chi . The dimension of the tangent space is estimated by constructing a maximal set of linearly independent vectors from the data near chi using the method of singular value decomposition. The method is used to analyse experimental data obtained from a nonlinear electronic oscillator in a chaotic state.
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Issue 9 (21 June 1987)
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Topological dimension and local coordinates from time series data
D S Broomhead et al 1987 J. Phys. A: Math. Gen. 20 L563
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