Inverted oscillations of a driven pendulum

DOI10.1098/rspa.1998.0282zbMath0915.70014OpenAlexW2140133322MaRDI QIDQ4224040

M. J. Clifford, Steven R. Bishop

Publication date: 6 January 1999

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.1998.0282

zbMATH Keywords

manifoldsbraidssubharmonic oscillationsparametrically forced pendulumhorseshoe structurenodding oscillations

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (9)

Symmetry breaking bifurcations of a parametrically excited pendulum ⋮ Exponential stability and spectral analysis of the pendulum system under position and delayed position feedbacks ⋮ Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory ⋮ Noise activated transitions among periodic states of a pendulum with a vertically oscillating pivot, mediated by a chaotic attractor ⋮ Dynamics of a parametrically excited system with two forcing terms ⋮ Comparisons between the pendulum with varying length and the pendulum with oscillating support ⋮ OSCILLATORY ORBITS OF THE PARAMETRICALLY EXCITED PENDULUM ⋮ Rotating orbits of a parametrically-excited pendulum ⋮ THE "NOT QUITE" INVERTED PENDULUM

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