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A classical perturbation technique that works even when the linear part of restoring force is zero

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Publication:2881728
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DOI10.1016/S0022-460X(03)00653-9zbMath1236.34082OpenAlexW2068464707MaRDI QIDQ2881728

Hui Hu

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(03)00653-9



Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10)


Related Items (7)

An artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearities ⋮ A note on the two-variable expansion method ⋮ On the use of two classical series expansion methods to determine the vibration of harmonically excited pure cubic oscillators ⋮ On the variational iteration method and other iterative techniques for nonlinear differential equations ⋮ A new perturbation solution for systems with strong quadratic and cubic nonlinearities ⋮ Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators ⋮ Perturbation method for periodic solutions of nonlinear jerk equations




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