Titlebook: Dimensions and Entropies in Chaotic Systems; Quantification of Co Gottfried Mayer-Kress Conference proceedings 1986 Springer-Verlag Berlin

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Chaos-Chaos Phase Transition and Dimension Fluctuationdone to understand the internal order in chaos such as topological and fractal ones. The discovery of some routes to chaos has also (contributed to the better understandings of order in germinal chaos, but hereafter the order immersed in the fully developed or grown-stage chaos should be elucidated.

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Scaling in Fat Fractalsnadequate to describe their fractal properties. An alternative approach can be couched in terms of the scaling of the coarse grained measure. For the more familiar “thin” fractals, the resulting scaling exponent reduces to the fractal codimension, but for fat fractals it is independent of the fracta

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On the Fractal Dimension of Filtered Chaotic Signalschniques [l], which make possible, for instance, the estimation of fractal dimensions and metric entropies. A particularly relevant aspect of these procedures, which has not yet been pointed out, concerns the role of filtering. In fact, not only any measurement of experimental signals is to some ext

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Efficient Algorithms for Computing Fractal Dimensionsed here build on existing work which has been described in the literature. The novelty of our methods lies first in the approach taken to the definition of computation of dimension (namely, via Monte Carlo calculation of the volume of an ε-cover of the point-set), and second in the use of data struc

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