  We consider the 3-D system defined by the jerk equation $\dddot{x} = -a
\ddot{x} + x \dot{x}^2 -x^3 -b x + c \dot{x}$, with $a, b, c\in \mathbb{R}$.
When $a=b=0$ and $c < 0$ the equilibrium point localized at the origin is a
zero-Hopf equilibrium. We analyse the zero-Hopf Bifurcation that occur at this
point when we persuade a quadratic perturbation of the coefficients, and prove
that one, two or three periodic orbits can born when the parameter of the
perturbation goes to $0$.
