Chaotic Motion of a Pendulum with Oscillatory Forcing

DOI10.2307/2324615zbMath0801.34036OpenAlexW4250710585MaRDI QIDQ4279904

John Bryce McLeod, Stuart P. Hastings

Publication date: 30 November 1994

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324615

zbMATH Keywords

symmetryshooting methodalmost periodiccomparison argumentsperiodically forced pendulum equationrandom orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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