Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations
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Publication:4842459
DOI10.1137/1037044zbMath0833.34034OpenAlexW2100020546MaRDI QIDQ4842459
Publication date: 5 March 1996
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1037044
Geometric methods in ordinary differential equations (34A26) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability for problems in linear vibration theory (70J25)
Related Items (10)
Schrödinger's equation and ``bike tracks -- a connection ⋮ On the existence of periodic motions of the excited inverted pendulum by elementary methods ⋮ KAM dynamics and stabilization of a particle sliding over a periodically driven curve ⋮ The pendulum under vibrations revisited ⋮ The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom ⋮ Scattering and Localization Properties of Highly Oscillatory Potentials ⋮ An extension of the Levi-Weckesser method to the stabilization of the inverted pendulum under gravity ⋮ On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum ⋮ Stabilization by vertical vibrations ⋮ GEOMETRY OF VIBRATIONAL STABILIZATION AND SOME APPLICATIONS
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