Power Series Solution to a Simple Pendulum with Oscillating Support

DOI10.1137/0147051zbMath0627.34036OpenAlexW2081354306MaRDI QIDQ3762888

Mohammad B. Dadfar, James F. Geer

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.bgsu.edu/comp_sci_pub/1

zbMATH Keywords

Padé approximantsresonancessimple pendulumregular perturbation solution

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs ⋮ Parametric stability of a charged pendulum with an oscillating suspension point ⋮ An algebraic procedure for the determination of periodic bifurcating solutions of quadratic ordinary differential equations ⋮ How is the period of a simple pendulum growing with increasing amplitude? ⋮ Long series analysis of laminar flow through parallel and uniformly porous walls of different permeability

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