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The Correlation Between and Variability of Three Balance Scales in the Assessment of Balance Function in Patients With Ataxia. [PDF]
Rev NeurolYe M, Zhang S, Li D, Li B, Hu Z.
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A Perturbation Method Based on Integrating Vectors and Multiple Scales
SIAM Journal on Applied Mathematics, 1999Summary: A new perturbation method based on integrating vectors and multiple scales is presented for regularly perturbed systems of ordinary differential equations. Asymptotic approximations to first integrals are constructed on long time-scales, that is, on time-scales of order \(\varepsilon^{-n}\), where \(\varepsilon\) is a small parameter and \(n ...
Wim van Horssen
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Nonlinear Dynamics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nayfeh Ali H
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Nayfeh Ali H
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A HIGHER ORDER METHOD OF MULTIPLE SCALES
Journal of Sound and Vibration, 1997Summary: Perturbation methods are often applied in the analysis of weakly nonlinear dynamic systems. The method of multiple scales, for instance, is a common choice. \textit{Z. Rahman} and \textit{T. D. Burton} [ibid. 133, No. 3, 369--379 (1989; Zbl 1235.70099)] proposed a version of the method of multiple scales which can be used to determine the ...
Lee, C. L., Lee, C.-T.
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2021
In multiple scale method, the independent variable will be replaced by several variables, each with a scaled down speed of variation. Replacing the independent variable, makes a nonlinear ordinary differential equation to be transformed to a series of linear partial differential equations. Combination of the solutions of the linear partial differential
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In multiple scale method, the independent variable will be replaced by several variables, each with a scaled down speed of variation. Replacing the independent variable, makes a nonlinear ordinary differential equation to be transformed to a series of linear partial differential equations. Combination of the solutions of the linear partial differential
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Solitons in Superlattices: Multiple Scales Method
International Journal of Theoretical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Qiang, Zhang, Qiyi, Zhou, Hui
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On the Reconstitution Problem in the Multiple Time-Scale Method
Nonlinear Dynamics, 1999The authors consider general systems of the form \(\ddot q+F(q, \dot q,t;\mu)=0\), where \(\mu\) is a vector containing small physical quantities, or small deviations from the critical values of other parameters. A perturbation parameter \(\varepsilon\) is introduced by the equation \(\mu= \varepsilon \widehat\mu\), \(\widehat\mu= O(1)\), then the ...
LUONGO, Angelo, Paolone A.
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An Alternative Example of the Method of Multiple Scales
SIAM Review, 2000Summary: An alternative example of the method of multiple scales is presented. This example arises in the study of the classical heat equation with a slowly varying flux imposed at one end. The module presents introductory ideas about dimensionless variables, multiple-scale expansions, and scaling of the dependent variable.
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The Sitnikov Problem Investigation with the Method of Multiple Scales
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manshadi, Ali Dehghan +1 more
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