# Stable Periodic Solutions in the Forced Pendulum Equation

*2013, Volume 18, Number 6, pp. 585-599*

Author(s):

**Ortega R.**

Consider the pendulum equation with an external periodic force and an appropriate condition on the length parameter. It is proved that there exists at least one stable periodic solution for almost every external force with zero average. The stability is understood in the Lyapunov sense.

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