Variational approach to the nonlinear oscillator of a mass attached to a stretched wire

DOI10.1088/0031-8949/77/04/045006zbMath1336.65127OpenAlexW1990273215MaRDI QIDQ3498987

Da-Hua Shou

Publication date: 19 May 2008

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

Full work available at URL: https://doi.org/10.1088/0031-8949/77/04/045006

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Numerical methods for ordinary differential equations (65L99)

Related Items (9)

Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation ⋮ Hamiltonian approach to nonlinear oscillators ⋮ Analysis of the nonlinear vibration of a two-mass-spring system with linear and nonlinear stiffness ⋮ The homotopy perturbation method for nonlinear oscillators ⋮ Periodic solutions for some strongly nonlinear oscillations by He's energy balance method ⋮ Extended framework of Hamilton's principle applied to Duffing oscillation ⋮ Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity ⋮ Solutions of the force-free Duffing-van der Pol oscillator equation ⋮ Higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach

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