Stabilization of an inverted pendulum (60 years of Kapitza's pendulum)

Authors

  • Eugene Butikov

Keywords:

oscillations, parametric resonance, inverted pendulum, dynamic stabilization, stability criterium, effective potential

Abstract

A simple physical explanation is suggested for parametric resonance caused by constrained vertical oscillations of the pivot. The phenomenon of dynamic stabilization of the inverted pendulum whose pivot is constrained to oscillate with a high frequency is considered in detail. A computer program simulating the physical system aids the analytical investigation of the subject in a manner that is mutually reinforcing.

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Published

2010-10-31

Issue

Section

Computers in the teaching process

How to Cite

[1]
“Stabilization of an inverted pendulum (60 years of Kapitza’s pendulum)”, Comput. Tools Educ., no. 5, Oct. 2010, Accessed: Oct. 23, 2026. Available: http://cte.eltech.ru/ojs/index.php/kio/article/view/1237

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