%0 Journal Article %T On unbounded polynomial dynamical systems %A Boujemaa %A Hamza %A El Qotbi %A Said %J - %D 2018 %R 10.3336/gm.53.2.07 %X Sa£żetak Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given %K Polynomial dynamical systems %K homogenization %K unboundedness %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=313468