Computing global orbits of the forced spherical pendulum

DOI10.1016/S0167-2789(02)00381-0zbMath1058.70022OpenAlexW1986086008MaRDI QIDQ1597260

Kyriakos V. Georgiou, Thomas J. Bridges

Publication date: 12 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00381-0

zbMATH Keywords

invariant manifoldtime-periodic forcingsix-dimensional Euclidean space

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items

Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment

Cites Work

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• RATTLE: A velocity version of the SHAKE algorithm for molecular dynamics calculations
• Resonant motion of a spherical pendulum
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• Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
• Bifurcations of the horizontally forced spherical pendulum
• Breakdown to chaotic motion of a forced, damped, spherical pendulum
• Comparison of Different Methods for Computing Lyapunov Exponents
• Resonantly forced surface waves in a circular cylinder
• Periodic solutions near equilibria of symmetric Hamiltonian systems
• Stability of forced oscillations of a spherical pendulum
• Backward Error Analysis for Numerical Integrators

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