Ali Barzanouni - Hakim Sabzevari University, Sabzevar, Iran
Ghazaleh Malekbala - Hakim Sabzevari University, Sabzevar, Iran
Leila Sharifan - Hakim Sabzevari University, Sabzevar, Iran

In this work, for a parallel discrete dynamical system over a directed dependency graph associted to a maxterm M AX we nd some criteria under which an arbitrary MAX PDDS is a xed point system. Also we will nd a condition under which every point of a MAX PDDS is either an eventually xed point or an eventually 2 periodic point.

nite dynamical system, dependency graph, Boolean network