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Noise reduction in nonlinear time series analysis

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Figure

Figure 1.2.1: The invariant manifolds for a rixed point of a two dimensional mapping function f(x) and the linearised stable and
Figure 2.2.1: The top picture illustrates a mapping from a circle to the plane that is an immersion but is not one-to-one
Figure 2.3.1: The top picture shows a plot of the singular values of the trajectory matrix for data from theLorenz system
Figure 2,3.2: Three projections of data from the Lorenz system using the first three principal directions and a simple ten point delay window.
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