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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Multifractal Analysis of Dimensions and Entropies
F. Takens, E. Verbitskiy Department of Mathematics,
University of Groningen,
P. O. Box 800, 9700 AV, Groningen, The Netherlands
Аннотация:
The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beauty and power of the theory of dynamical systems is that it links together different areas of mathematics and physics.
In the last 30 years a great deal of attention was dedicated to a statistical description of strange attractors. This led to the development of notions of various dimensions and entropies, which can be associated to the attractor, dynamical system or invariant measure.
In this paper we review these notions and discuss relations between those, among which the most prominent is the so-called multifractal formalism.
Поступила в редакцию: 19.10.2000
Образец цитирования:
F. Takens, E. Verbitskiy, “Multifractal Analysis of Dimensions and Entropies”, Regul. Chaotic Dyn., 5:4 (2000), 361–382
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd885 https://www.mathnet.ru/rus/rcd/v5/i4/p361
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