In the present work, we will do a study of linear dynamics of operators, focusing mainly on
the concepts of topological transitivity, hypercyclicity and chaoticity. At rst, we will deal
with non-linear dynamical systems and, later, we will approach the dynamics of operators
in a linear context, more speci cally, in Banach spaces. We will also present examples of
linear operators, which are correlated, they are: the backward shift operator, Rolewicz
and weighted shift operator. Finally, we will show results that provide us under what
conditions these operators have dynamic properties in the lp(X) sequence space, where
1 ≤ p < 1 and X is a Banach space.