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

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书目名称Dimensions and Entropies in Chaotic Systems
副标题Quantification of Co
编辑Gottfried Mayer-Kress
视频video
丛书名称Springer Series in Synergetics
图书封面Titlebook: Dimensions and Entropies in Chaotic Systems; Quantification of Co Gottfried Mayer-Kress Conference proceedings 1986 Springer-Verlag Berlin
描述These proceedings contain the papers contributed to the International Work­ shop on "Dimensions and Entropies in Chaotic Systems" at the Pecos River Conference Center on the Pecos River Ranch in Spetember 1985. The work­ shop was held by the Center for Nonlinear Studies of the Los Alamos National Laboratory. At the Center for Nonlinear Studies the investigation of chaotic dynamics and especially the quantification of complex behavior has a long tradition. In spite of some remarkable successes, there are fundamental, as well as nu­ merical, problems involved in the practical realization of these algorithms. This has led to a series of publications in which modifications and improve­ ments of the original methods have been proposed. At present there exists a growing number of competing dimension algorithms but no comprehensive review explaining how they are related. Further, in actual experimental ap­ plications, rather than a precise algorithm, one finds frequent use of "rules of thumb" together with error estimates which, in many cases, appear to be far too optimistic. Also it seems that questions like "What is the maximal dimension of an attractor that one can measure with a given
出版日期Conference proceedings 1986
关键词algorithms; chaos; complex system; complex systems; dynamical systems; entropy; system; turbulence
版次1
doihttps://doi.org/10.1007/978-3-642-71001-8
isbn_softcover978-3-642-71003-2
isbn_ebook978-3-642-71001-8Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer-Verlag Berlin Heidelberg 1986
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The Characterization of Fractal Measures as Interwoven Sets of Singularities: Global Universality atat an orbit in phase space has metric universality as a whole set or that a whole range of parameter space can be shown to have universal properties [5]. Examples that have been worked out recently include the 2. cycle of period doubling, the orbit on a 2-torus with golden-mean winding number at the
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Conference proceedings 1986rimental ap­ plications, rather than a precise algorithm, one finds frequent use of "rules of thumb" together with error estimates which, in many cases, appear to be far too optimistic. Also it seems that questions like "What is the maximal dimension of an attractor that one can measure with a given
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0172-7389 many cases, appear to be far too optimistic. Also it seems that questions like "What is the maximal dimension of an attractor that one can measure with a given978-3-642-71003-2978-3-642-71001-8Series ISSN 0172-7389 Series E-ISSN 2198-333X
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Springer Series in Synergeticshttp://image.papertrans.cn/e/image/280488.jpg
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https://doi.org/10.1007/978-3-531-91540-1estimate for the lower bound of the dimension of a wide class of graphs which includes the Weierstrass-Hardy-Mandelbrot functions, and also on the exact dimension of some objects constructed via random recursions.
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