Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations

199540 citationsJournal Article

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Abstract

In this note we give a simple geometrical picture that explains why an inverted pendulum is stabilized by high frequency vibrations.MSC codes34A2634D1070J25Keywordsstabilityhyperbolic and elliptic rotationsapplications of linear algebra

Topics & Keywords

Quantum chaos and dynamical systems Nonlinear Dynamics and Pattern Formation Advanced Differential Equations and Dynamical Systems

Publication Details

Published in: SIAM Review

Volume 37, Issue 2, pp. 219-223

DOI: 10.1137/1037044

Field-Weighted Citation Impact: 1.01

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Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations

Authors

Abstract

Topics & Keywords

Publication Details