On the motion of non-linear oscillators with a fractional-order restoring force and time variable parameters

DOI10.1016/J.PHYSLETA.2009.03.046zbMath1229.70070OpenAlexW2124418675WikidataQ107163449 ScholiaQ107163449MaRDI QIDQ653114

Ivana Kovacic

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.046

zbMATH Keywords

variational principleKrylov-Bogoliubov methodfractional-order restoring forceslow timeuncommutative rule

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Hamilton's equations (70H05) Variational principles of physics (49S05)

Related Items (2)

Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method ⋮ An insight into the behaviour of oscillators with a periodically piecewise-defined time-varying mass

Cites Work

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• Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator
• Perturbation methods in applied mathematics
• On Duffing oscillators with slowly varying parameters
• Variational methods in nonconservative phenomena
• Comparison of multiple scales and KBM methods for strongly nonlinear oscillators with slowly varying parameters
• Adiabatic invariants of quasi-pure-cubic oscillators

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