We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on $c_0(\N)$ $\ell^p(\N)$, $p \in [1, \infty)$, which are a generalization the backward shift operator. show that hypercyclicity supercyclicity equivalent among subfamily these always satisfy Disjoint Hypercyclicity Criterion. also simultaneous \infty)$.

We provide with criteria for a family of sequences operators to share frequently universal vector. These are inspired by the classical Frequent Hypercyclicity Criterion and recent criterion due Grivaux, Matheron Menet where periodic points play central role. As an application, we obtain any operator T in specific class acting on separable Banach space, necessary sufficient condition subset ? co...