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Stability results for impulsive pantograph equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guan, Kaizhong, Luo, Zhiwei
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Applied Sciences, 2021 In this paper, the authors present a mathematical and engineering model to optimally calculate the dynamic equation on the pantograph–catenary interaction when considering a rigid catenary with an overlapping span.
Jesús Benet +4 more
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A Study of Generalized Hybrid Discrete Pantograph Equation via Hilfer Fractional Operator
Fractal and Fractional, 2022 Pantograph, a device in which an electric current is collected from overhead contact wires, is introduced to increase the speed of trains or trams. The work aims to study the stability properties of the nonlinear fractional order generalized pantograph ...
Wafa Shammakh +3 more
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IEEE Access, 2019 In high-speed railways, the quality of current collection of high-speed train is directly determined by the contact force between the contact wire of the catenary and the registration strip of the pantograph.
Jing Zhang +4 more
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An investigation into the aerodynamic characteristics of catenary contact wires in a cross-wind [PDF]
, 2001 An experimental analysis of the aerodynamic characteristics of catenary contact wires is presented. The aerodynamic data obtained were used to calculate the Glauert-Den Harthog criterion for one-dimensional galloping.
Scanlon, T.J., Stickland, M.T.
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Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations
Advances in Applied Mathematics and Mechanics, 2020 Summary: In this paper, the discontinuous Galerkin method is applied to solve the multi-pantograph delay differential equations. We analyze the optimal global convergence and local superconvergence for smooth solutions under uniform meshes. Due to the initial singularity of the forcing term \(f\), solutions of multi-pantograph delay differential ...
Jiang, Kun, Huang, Qiumei, Xu, Xiuxiu
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Shock and Vibration, 2014 In high-speed electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The effect of fast harmonic and parametric excitation on a stochastically driven pantograph-catenary system ...
R. H. Huan, W. Q. Zhu, F. Ma, Z. H. Liu
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A field programmable gate array based modular motion control platform [PDF]
, 2011 The expectations from motion control systems have been rising day by day. As the systems become more complex, conventional motion control systems can not achieve to meet all the specifications with optimized results.
Koc, Osman +5 more
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Journal of Function Spaces, 2022 The main goal of this paper is to develop a new formula of the fractional derivatives of the shifted Chebyshev polynomials of the third kind. This new formula expresses approximately the fractional derivatives of these polynomials in the Caputo sense in ...
Y. H. Youssri +2 more
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Numerical Approach for Solving Fractional Pantograph Equation
International Journal of Computer Applications, 2015 this article, we have investigate a Taylor collocation method, which is based on collocation method for solving fractional pantograph equation. This method is based on first taking the truncated fractional Taylor expansions of the solution function in the mathematical model and then substituting their matrix forms into the equation.
Mustafa Gülsu +2 more
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