Superior Cantor Sets and Superior Devil Staircases

  • Authors:
  • Mamta Rani;Sanjeev Kumar Prasad

  • Affiliations:
  • University Malaysia Pahang, Malaysia;Ajay Kumar Garg Engineering College, India

  • Venue:
  • International Journal of Artificial Life Research
  • Year:
  • 2010

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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.