On the description of self-similarity for attractors by means of conditional entropy

✍ Scribed by Kei Inoue

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 375 KB
• Volume: 66
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.04.011

✦ Synopsis

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.