Complex Systems

A Glimpse of the Mandelbulb with Memory Download PDF

Ramón Alonso-Sanz
Technical University of Madrid, ETSIA (Estadistica, GSC)
C. Universitaria. 28040, Madrid, Spain


An exploratory study is made concerning the effect of memory of past states on the dynamics of a kind of triplex number iterative map. Particular attention is paid to the case of the map generating the so-called Mandelbulb set.