Breakdown to chaotic motion of a forced, damped, spherical pendulum

DOI10.1016/0167-2789(93)90263-ZzbMath0778.70020OpenAlexW2086169931MaRDI QIDQ2366497

Peter J. Bryant

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90263-z

zbMATH Keywords

truncated Fourier seriessymmetry-breakingcoplanar casenonplanar caseperiod- doubling

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (9)

Transient dynamics of a lightly damped, roll-forced pendulum ⋮ On the chaotic dynamics of a spherical pendulum with a harmonically vibrating suspension ⋮ Measurement and analysis of complex modulated motions in a weakly nonlinear system ⋮ Bifurcations of the horizontally forced spherical pendulum ⋮ Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment ⋮ Nonlinear Oscillations of a Suspended Gyrostat ⋮ Lyapunov exponents for the Miles' spherical pendulum equations ⋮ ESTIMATION OF CHAOTIC THRESHOLDS FOR THE RECENTLY PROPOSED ROTATING PENDULUM ⋮ Computing global orbits of the forced spherical pendulum

Cites Work

• Unnamed Item
• Resonant motion of a spherical pendulum
• Determining Lyapunov exponents from a time series
• On a periodically forced, weakly damped pendulum. Part 2: Horizontal forcing
• Stability of forced oscillations of a spherical pendulum
• Chaotic breakdown of a periodically forced, weakly damped pendulum

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