On the stability of the upside–down pendulum with damping

DOI10.1098/rspa.2001.0859zbMath1028.70014OpenAlexW2063311676MaRDI QIDQ4545328

Michele V. Bartuccelli, Kyriakos V. Georgiou, Guido Gentile

Publication date: 15 August 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0859

zbMATH Keywords

stabilityperturbation theoryfrictionanalytic solutionMathieu's equationbasins of attractionvertically driven pendulumsmall damping termupward equilibrium position

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) General perturbation schemes for nonlinear problems in mechanics (70K60) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (5)

Dynamics of a system of coupled inverted pendula with vertical forcing ⋮ Stable dynamics in forced systems with sufficiently high/low forcing frequency ⋮ Frequency locking in an injection-locked frequency divider equation ⋮ Comparisons between the pendulum with varying length and the pendulum with oscillating support ⋮ Damped equations of Mathieu type

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