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Currently, the ocean energy strategy is rapidly developing, and a high proportionate tidal current energy grid connection presents significant obstacles to the planning and secure and stable operation of an island microgrid.
Yani Ouyang +3 more
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Multiple time scales method for a two dimensional system with distributed delays
Building on the simplified mathematical model derived from the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis, which describes the interactions between ACTH and cortisol through a system of differential equations with distributed delays, this ...
Matei Maria Roxana
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This study is divided into two important axes; for the first one, a new symmetric analytical (approximate) solution to the Duffing–Helmholtz oscillatory equation in terms of elementary functions is derived. The obtained solution is compared with the numerical solution using 4th Range–Kutta (RK4) approach and with the exact analytical solution that is ...
Weaam Alhejaili +2 more
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Application of Multiple-Scales Method for the Dynamic Modelling of a Gear Coupling
Thin-walled gears, designed for aeronautical applications, have shown very rich dynamics that must be investigated in advance of the design phase. One of the signatures of their dynamics is coupling due to the meshing teeth which stand-alone gear models ...
Enrico Pipitone +2 more
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Stability approach for periodic delay Mathieu equation by the He- multiple-scales method
In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is constructed.
Yusry O. El-Dib
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Approximate Solutions of Coupled Nonlinear Oscillations: Stability Analysis [PDF]
The current article is concerned with a comprehensive investigation in achieving approximate solutions of coupled nonlinear oscillations with high nonlinearity. These equations are highly nonlinear second-order ordinary differential equations.
Galal M. Moatimid +2 more
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Dynamic Analysis of a COVID-19 Vaccination Model with a Positive Feedback Mechanism and Time-Delay
As the novel coronavirus pandemic has spread globally since 2019, most countries in the world are conducting vaccination campaigns. First, based on the traditional SIR infectious disease model, we introduce a positive feedback mechanism associated with ...
Xin Ai, Xinyu Liu, Yuting Ding, Han Li
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Analyzing Frequency response of nano electro mechanical-resonator based on non-local elasticity theory [PDF]
 In recent years, many experimental observations showed that by decreasing the micro- and nano-beams thicknesses size effect appears and classical continuum theory cannot be used for micro- and nano-beams modeling.
mehdi maleki +2 more
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Global warming has brought about enormous damage, therefore, some scholars have begun to conduct in-depth research on peak carbon dioxide emissions and carbon neutrality.
Leilei Han, Haokun Sui, Yuting Ding
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Method of multiple scales with three time scales [PDF]
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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