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A multiple time scaling perturbation analysis is employed for a simple model of an imperfect fluid-conveying pipe.
A simple model of an imperfectly excited, simply supported, straight, single pipe CFM is investigated using a multiple time scaling perturbation analysis.
A simple mathematical model of a fluid-conveying pipe is formulated and the effect of pulsating fluid flow is analyzed using a multiple time scaling perturbation analysis.
Two approaches, multiple time scaling and stochastic averaging, are used.
The multiple time scaling method is utilized to obtain approximate solutions for the frequency resonance cases.
Amplitude expansion in the proximity of a singular bifurcation combined with multiple time scaling are used to derive universal equations that, though valid quantitatively only in a narrow patch of the parametric space, give full qualitative information on dynamics of a system possessing the respective highest singularity.
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A multiple time scale approach is used.
Multiple time scales are inherent in bursting dynamics.
The multiple time scale perturbation technique is applied throughout.
The dynamic analysis of the general model is examined by the method of multiple time scales.
Multiple time scales allow for temporal flexibility in evaluation of rainfall conditions and water supply.
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