On the existence of periodic motions of the excited inverted pendulum by elementary methods

DOI10.1007/s10474-018-0835-6zbMath1424.34124OpenAlexW2803328205MaRDI QIDQ1669656

L. Csizmadia, László Hatvani

Publication date: 3 September 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0835-6

zbMATH Keywords

stabilizationinverted pendulumstability regionperiodic excitationstep function coefficient

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

The pendulum under vibrations revisited

Cites Work

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• An extension of the Levi-Weckesser method to the stabilization of the inverted pendulum under gravity
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• Geometry of Kapitsa's potentials
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• Ordinary Differential Equations with Applications
• Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations
• An improved criterion for Kapitza's pendulum stability
• A Special Hill's Equation with Discontinuous Coefficients

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