Article ID Journal Published Year Pages File Type
844651 Nonlinear Analysis: Theory, Methods & Applications 2007 8 Pages PDF
Abstract

There exist several sets having similar structure on arbitrarily small scales. Mandelbrot called such sets fractals, and defined a dimension that assigns non-integer numbers to fractals. On the other hand, a dynamical system yielding a fractal set referred to as a strange attractor is a chaotic map. In this paper, a characterization of self-similarity for attractors is attempted by means of conditional entropy.

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Physical Sciences and Engineering Engineering Engineering (General)
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