On the dynamic stabilization of an inverted pendulum

  title={On the dynamic stabilization of an inverted pendulum},
  author={Eugene I. Butikova},
  • Eugene I. Butikova
  • Published 2001
A simple qualitative physical explanation is suggested for the phenomenon of dynamic stabilization of the inverted rigid planar pendulum whose pivot is constrained to oscillate with a high frequency in the vertical direction. A quantitative theory based on the suggested approach is developed. A computer program simulating the physical system supports the analytical investigation. The simulation reveals subtle details of the motion and aids the analytical study of the subject in a manner that is… CONTINUE READING
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