Playing with the critical point. An experiment with the Mandelbrot set connectivity

Alessandro Rosa

Playing with the critical point. An experiment with the Mandelbrot set connectivity

History and Overview 2007-06-13 v1 Dynamical Systems

Authors: Alessandro Rosa

Abstract

By means of a graphical journey across the Mandelbrot set for the classic quadratic iterator $f(z):z^2+q$ , we illustrate how connectivity breaks as the seed $z_0$ is no longer at the critical point of $f(z)$ . Finally we suggest an attack to the MLC conjecture.

Keywords

Mandelbrot set connectivity critical point quadratic iterator MLC conjecture

Cite

@article{arxiv.math/0608392,
  title  = {Playing with the critical point. An experiment with the Mandelbrot set connectivity},
  author = {Alessandro Rosa},
  journal= {arXiv preprint arXiv:math/0608392},
  year   = {2007}
}

Comments

4 Pages, 19 Figures

Related papers

View all related →