COURSES  

 

Alejandro B. Engel
Department of Mathematics and Statistics
Rochester Institute of Technology
email: abesma@rit.edu
Phone: (716) 475 2123
NICE MATH.
RESEARCH
OTHER
 

REFERENCES

   THE FOLLOWING CLASSICAL BOOKS OR PAPERS WILL TAKE YOU MORE IN DEPHT INTO THE SUBJECT. FOR CONTEMPORARY LITERATURE ON THIS SUBJECT, SURF THE NET SEARCHING FOR FRACTALS AND/OR CHAOS.
  • Mitchell J. Feigenbaum "Quantitative universality for a class of nonlinear transformations" Jour. Stat. Phys. 19 (1978) 25-52.
  • Benoit Mandelbrot; The Fractal Geometry of Nature. W.H.Freeman and Co., New York. 1977.
  • Robert M. May "Simple mathematical models with very complicated dynamics" Nature 261 (1976) 459-467.
  • Thomas D. Rogers and Davis C. Whitley "Chaos in the cubic map" Math. Model. 4 (1983) 9-25.

The ideas behind exploring the interior of Julia Sets and the Mandelbrot Set can be found in:

  • Alejandro B. Engel "Morphosis of the Julia Set of the real parameter family of complex quadratic maps" Computer and Graphics 17 (1993) 315-319.

 

BACK TO FRACTALS

 
Most of the ideas on which the references on right are based started with a simple idea, and involved a large amount of experimentation.

Perhaps by working with the tools of this site you will get a germ of an idea. The same tools of this site will help you experiment with this idea. And, Who knows? In the future, we might all have to study your findings.