# Measuring the Strangeness of Strange Attractors

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4,619 citations

### Cites background or methods from "Measuring the Strangeness of Strang..."

...It is given by if these limits exist (see Grassberger and Procaccia, 1983a)....

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...We describe here another approach due to Grassberger and Procaccia (1983a); see also Cohen and Procaccia (1984)....

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...We concentrate on the determination of the information dimension, using the method advocated by Young (1982), and Grassberger and Procaccia (1983b)....

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...This algorithm has been successfully used in several experiments, e.g., Malraison et al. (19831, Abraham et al. (1984), Grassberger and Procaccia (1983b); it has indicatedfinite dimensions in hydrodynamic systems, even though the phase space is infinite dimensional and the system therefore could…...

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...Starting from different ideas, Grassberger and Procaccia (1983a,1983b) have arrived at a very similar way of computing the information dimension dimHp of the measure p....

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3,375 citations

2,993 citations

2,723 citations

### Cites background or methods from "Measuring the Strangeness of Strang..."

...absolutely regular with k = 0 for k > m, and by Theorem 1 of Denker and Keller (1983) for generalized U{statistics we get...

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...Let G j i be {fui;ui+1;:::;ujg for 1 i Denker and Keller (1983) ) if...

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...In Grassberger and Procaccia (1983) the correlation integral was introduced as a method of measuring the fractal dimension of deterministic data....

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...Cm;n in equation (2.2) is a generalized U-statistic (c.f., Sering (1980, Chapter 5), and Denker and Keller (1983) ) with symmetric kernel (kx yk)....

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2,344 citations

##### References

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