Systematic Errors in Estimating Dimensions from Experimental Data
The necessity of characterizing chaotic dynamics quantitatively by assigning to them measures like the dimension of the underlying attractor or the entropy production of the system has generally been accepted. The corresponding methods are practiced now by many experimentalists. Most of them have adopted the method by Grassberger and Procaccia  that requires only a single-variable time series by making use of the embedding technique originally proposed by Takens  Though the validity of the method is beyond any doubt, its practical application presents problems, since it relies on assumptions which are not generally fulfilled in the experiment.
KeywordsLyapunov Exponent Strange Attractor Chaotic Signal Lyapunov Dimension Average Length Scale
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