Bifurcations of the horizontally forced spherical pendulum

DOI10.1016/S0045-7825(98)00202-3zbMath0948.70018OpenAlexW2037320031MaRDI QIDQ1965151

Philip J. Aston

Publication date: 19 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00202-3

zbMATH Keywords

symmetriesbifurcation diagramssmall amplitude periodic solutionschaotic solutionshorizontally forced damped spherical pendulumnormal Lyapunov exponentrunning oscillationsstability to non-planar perturbations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment ⋮ Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system ⋮ Computing global orbits of the forced spherical pendulum

Cites Work

• Resonant motion of a spherical pendulum
• Breakdown to chaotic motion of a forced, damped, spherical pendulum
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• On a periodically forced, weakly damped pendulum. Part 2: Horizontal forcing
• Resonantly forced surface waves in a circular cylinder
• Stability of forced oscillations of a spherical pendulum
• From attractor to chaotic saddle: a tale of transverse instability
• Synchronization in chaotic systems

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