Complex Systems

The Mandelbrot Set with Partial Memory Download PDF

Ramón Alonso-Sanz
Universidad Politécnica de Madrid, ETSIA (Estadistica, GSC)
C. Universitaria. 28040, Madrid, Spain
ramon.alonso@upm.es

Abstract

An exploratory study is made on the effect of partial memory of past iterations on the dynamics of the quadratic map defining the Mandelbrot set.