  We consider generic differential equations in $\mathbb{R}$ with a finite
number of hyperbolic equilibria, which are subject to $\omega$--periodic
instantaneous perturbative pulses ($\omega>0$). Using the time-$ \omega$ map of
the original system (without perturbation), we are able to find all periodic
solutions of the perturbed system and study their stability. In this article,
we establish an algorithm to locate $\omega$--periodic solutions of impulsive
systems of frequency $\omega$, to study their stability and to locate
Saddle-node bifurcations. With our technique, we are able to fully characterise
the asymptotic dynamics of the system under consideration.
