THE "NOT QUITE" INVERTED PENDULUM

DOI10.1142/S0218127499000158zbMath0946.70016OpenAlexW2071111178MaRDI QIDQ4941641

David J. Sudor, Steven R. Bishop

Publication date: 13 March 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000158

zbMATH Keywords

vertical forcealmost vertical forceeffective potential functionsinusoidally driven pendulumstable inverted solutions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40)

Related Items (1)

Symmetry-breaking in the response of the parametrically excited pendulum model

Cites Work

• Construction and quantitative characterization of a chaotic saddle from a pendulum experiment
• Generic features of escape from a potential well under parametric excitation
• Stability and Hopf bifurcations in an inverted pendulum
• Experimental study of an inverted pendulum
• Flexible control of the parametrically excited pendulum
• Dynamics of the forced Josephson junction circuit: The regions of chaos
• Inverted oscillations of a driven pendulum
• Approximating the Escape Zone for the Parametrically Excited Pendulum
• A pendulum theorem
• Multiple-nodding oscillations of a driven inverted pendulum
• Locating oscillatory orbits of the parametrically-excited pendulum

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