Fractals Parrondo’s Paradox in Alternated Superior Complex System

This work focuses on a kind of fractals Parrondo’s paradoxial phenomenon “deiconnected+diconnected=connected” in an alternated superior complex system zn+1=β(zn2+ci)+(1−β)zn,i=1,2. On the one hand, connectivity variation Julia sets is explored by analyzing loci. other we graphically investigate position relation between Mandelbrot set and Connectivity Loci, which results conclusion that two totally disconnected can originate new, connected, set. Moreover, present some graphical examples obtained use escape-time algorithm derived criteria.