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The method of multiple scales is applied to these equations.
Finally, the method of multiple scales is used to determine the transition curves of the system.
The method of multiple scales is applied directly to two equations to evaluate nonlinear natural frequencies.
A method of multiple scales is developed for n-degree-of-freedom weakly nonlinear gyroscopic systems.
Further the method of multiple scales is used to obtain the equations at a slow scale.
The method of multiple scales is used to obtain the averaged equations.
An approximate analytical solution, using the method of multiple scales, is presented.
The method of multiple scales is utilized to obtain the first order approximation of response.
A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented.
Finally, the method of multiple scales is used to determine the response amplitudes of the plate.
The method of multiple scales is employed to obtain analytical solutions of the system under consideration.
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