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.
    Keywords: Lyapunov stability, forced pendulum, prevalence, periodic solution, regular value, discriminant
    Citation: Ortega R., Stable Periodic Solutions in the Forced Pendulum Equation, Regular and Chaotic Dynamics, 2013, Volume 18, Number 6, pp. 585-599
    DOI: 10.1134/S1560354713060026



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