Pendulum is a simple system that is usually related to great discoveries in science and technology. Nonlinear dynamics of pendulum systems is related to a variety of responses being the objective of studies of oscillations, bifurcations and chaos. Smart material nonlinear effects are employed in several applications due to their adaptive behavior presenting great advantages in control strategies. This work deals with the dynamics of an SMA-pendulum system that consists of a pendulum coupled with shape memory alloy springs. A numerical investigation is carried out exploiting the temperature-dependent behavior of the SMA. Complex responses are presented and the possibility of thermal control of the system is investigated.