Sets of points in dynamic and parameter planes

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Names of components

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• The Structures of the Mandelbrot Sets by Thayer Watkins
• Picture in Wikipedia where the Periocity of the limiting Orbit is represented by different colors: by Manuel Hol
• Orbit detection by J C Sprott
  
• Computing Periodic Orbits of Nonlinear Mappings Through Particle Swarm Optimization (2002) Konstantinos E. Parsopoulos, Michael N. Vrahatis
• The Mandelbrot/Julia Set Applet
• Mandelbrot set: (by Fabio Cesari)
• Exact Coordinates by Robert P. Munafo
• Periodic_points_of_complex_quadratic_mappings in WIkipedia

unit with procedure for drawing error1.jpg

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How to find points c with periodic orbits:

1. Find points c with bounded orbits ( for IterationMax = 1600)
   it means : such orbits for which LastIteration=IterationMax and (Hypotenuse(Zn)< EscapeRadius)
2. Look for periodic points in such bounded orbit

Delphi program for drawing above image. In status bar you can read period of orbit

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Main page

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Autor: Adam Majewski
adammaj1-at-o2-dot--pl
Feel free to e-mail me. (:-))
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