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Genome-Wide Identification of the <i>LdARF</i> Gene Family in <i>Lilium davidii</i> var. <i>unicolor</i> and Transient Functional Analysis of <i>LdARF17</i> in Bulblet Regeneration. [PDF]
Plants (Basel)Tang Y +8 more
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Discovering multiscale deep formulas in complex systems via neural-guided lambda calculus. [PDF]
Nat CommunYu H, Yang S, Ren X, Zhao C.
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Advances in Computational and Experimental Approaches to Chemical Short-Range Order Formation in Multi-Principal Element Alloys. [PDF]
Adv Sci (Weinh)Asle Zaeem M, Liaw PK.
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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 T. van Horssen
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Nonlinear Dynamics, 2005
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Comparing the direct normal form method with harmonic balance and the method of multiple scales [PDF]
Procedia Engineering, 2017 Approximate analytical methods have been used extensively for finding approximate solutions to nonlinear ordinary differential equations. In this paper we compare the recently developed direct normal form transformation with two other very well known and
S A Neild, D J Wagg
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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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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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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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