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The Method of Multiple Scales and the ∈-Power Series

1998
The perturbation strategy known as the “method of multiple scales” lies at the heart of solitary wave theory. First, it is the vehicle by which three-dimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”.
openaire   +1 more source

Modelling of vortex-induced force and prediction of vortex-induced vibration of a bridge deck using method of multiple scales

Journal of Wind Engineering and Industrial Aerodynamics, 2023
Yongle Li, You-Lin Xu, Shengran Hao
exaly  

Determination of the natural frequencies of axially moving beams by the method of multiple scales

Journal of Shanghai University, 2007
Li-Qun Chen, Xiao-Dong Yang
exaly  

Dynamic stability in principal parametric resonance of rotating beams: Method of multiple scales versus differential quadrature method

International Journal of Non-Linear Mechanics, 2016
Tang You-Qi   +2 more
exaly  

Numerical Simulation of Van der Pol Equation Using Multiple Scales Modified Lindstedt–Poincare Method

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2020
exaly  

On the multiple scales perturbation method for difference equations

Nonlinear Dynamics, 2008
Wim T. van Horssen
exaly  

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