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Superior Cantor Sets and Superior Devil Staircases

Superior Cantor Sets and Superior Devil Staircases

Mamta Rani, Sanjeev Kumar Prasad
Copyright: © 2010 |Volume: 1 |Issue: 1 |Pages: 7
ISSN: 1947-3087|EISSN: 1947-3079|ISSN: 1947-3087|EISBN13: 9781616929657|EISSN: 1947-3079|DOI: 10.4018/jalr.2010102106
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MLA

Rani, Mamta, and Sanjeev Kumar Prasad. "Superior Cantor Sets and Superior Devil Staircases." IJALR vol.1, no.1 2010: pp.78-84. http://doi.org/10.4018/jalr.2010102106

APA

Rani, M. & Prasad, S. K. (2010). Superior Cantor Sets and Superior Devil Staircases. International Journal of Artificial Life Research (IJALR), 1(1), 78-84. http://doi.org/10.4018/jalr.2010102106

Chicago

Rani, Mamta, and Sanjeev Kumar Prasad. "Superior Cantor Sets and Superior Devil Staircases," International Journal of Artificial Life Research (IJALR) 1, no.1: 78-84. http://doi.org/10.4018/jalr.2010102106

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Abstract

Mandelbrot, in 1975, coined the term fractal and included Cantor set as a classical example of fractals. The Cantor set has wide applications in real world problems from strange attractors of nonlinear dynamical systems to the distribution of galaxies in the universe (Schroder, 1990). In this article, we obtain superior Cantor sets and present them graphically by superior devil’s staircases. Further, based on their method of generation, we put them into two categories.

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