Results 31 to 40 of about 20,490,842 (288)
Method of multiple scales with three time scales [PDF]
PAMM, 2007 AbstractSome confusion appears in the literature regarding the extension of the method of multiple scales to three or more time scales. While the work of Murdock and Wang [1] correctly indicates some obstructions to such an extension in some types of problems, other work suggests that the extension should almost never be possible [2]. These pessimistic
Peter Kramer +3 more
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Algorithmic Reduction of Biological Networks with Multiple Time Scales [PDF]
Mathematics in Computer Science, 2021 AbstractWe present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular biochemistry, and compartmental models for pharmacology, epidemiology and ecology.
Kruff, Niclas +4 more
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Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator [PDF]
Opuscula Mathematica, 2020 We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a \(\varphi\)-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree.
Pablo Amster +2 more
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Computer algebra models dynamics on a multigrid across multiple length and time scales [PDF]
, 2007 [Abstract]: Methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of space-time scales; often they possess a continuum of space-time ...
Roberts, A. J.
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Human learning: Power laws or multiple characteristic time scales? [PDF]
Tutorials in Quantitative Methods for Psychology, 2006 The central proposal of A. Newell and Rosenbloom (1981) was that the power law is the ubiquitous law of learning. This proposition is discussed in the context of the key factors that led to the acceptance of the power law as the function of learning.
Gottfried Mayer-Kress +2 more
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Earth's Future, 2023 A comprehensive and accurate estimation of water quality in lakes and reservoirs is vital for the protection of the aquatic biota. Research on the spatiotemporal variations of nitrogen (N) and phosphorus (P) concentrations in lacustrine systems is ...
Chunzi Ma +7 more
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Approaching Academic Adjustment on Multiple Time Scales
Zeitschrift für Erziehungswissenschaft, 2022 The process of socioemotional adaptation in educational research is often examined using panel studies with repeated assessments across months or years. Intensive longitudinal designs (e.g., daily diaries or experience sampling methods) allow to target this process on a shorter time scale (e.g., from day-to-day or week-to-week).
Andreas B. Neubauer, Florian Schmiedek
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Advanced Modeling and Simulation in Engineering Sciences, 2021 Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system.
Angelo Pasquale +6 more
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On the Reconstitution Problem in the Multiple Time-Scale Method
Nonlinear Dynamics, 1999 The 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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Journal of Modern Power Systems and Clean Energy, 2021 Environmental and electrical factors such as wind speed, air temperature and switching frequency have significant influences on the operational reliability of hybrid modular multilevel converter (MMC), which is commonly used for the wind power ...
Fei Feng +6 more
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