Results 1 to 10 of about 1,134,462 (290)
The partial averaging method [PDF]
Journal of Mathematical Physics, 2003 The partial averaging technique is defined and used in conjunction with the random series implementation of the Feynman–Kaç formula. It enjoys certain properties such as good rates of convergence and convergence for potentials with coulombic singularities.
Cristian Predescu +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action.
O.M. Stanzhytskyi +3 more
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Non-contact atomic force microscope: Modeling and simulation using van der Pol averaging method [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 Topic and aim. One of the tools which are extremely useful and valuable for creating a topography of surfaces, measuring forces, and manipulating material with nano-meter-scale features is the Atomic force microscope (AFM).
Bahrami, Mohammad Reza
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Axioms, 2022 In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.
Olena A. Kapustian +3 more
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Rotations of a Rigid Body Close to the Lagrange Case under the Action of Nonstationary Perturbation Torque [PDF]
Journal of Applied and Computational Mechanics, 2022 Perturbed motions of a rigid body, close to the Lagrange case, under the action of restoring and perturbation torques of forces are investigated in the paper. The following problem is formulated: investigating solutions behavior of system of equations of
Dmytro Leshchenko +2 more
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Evolution of the rotational motion of a viscoelastic planet with a core on an elliptical orbit
Российский технологический журнал, 2021 The work is devoted to the study of the evolution of the rotational motion of a planet in the central Newtonian field of forces. The planet is modeled by a body consisting of a solid core and a viscoelastic shell rigidly attached to it.
A. A. Shatina, A. V. Starostina
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On Strutinsky's averaging method [PDF]
Nuclear Physics A, 1973 Abstract The averaging procedure in Strutinsky's method of shell corrections is formulated for a general type of averaging function. In the case of the harmonic-oscillator potential, the method is proved analytically to give the same results as semiclassical methods. For the infinite-rectangular-box potential, an uncertainty in the value of the shell
Brack, Matthias, Pauli, H. C.
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On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper presents new results on the bifurcation of medium and small limit cycles from the periodic orbits surrounding a cubic center or from the cubic center that have a rational first integral of degree 2 respectively, when they are perturbed inside ...
Bo Huang
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Coupled Double Closed-Loop Control for an MEMS Resonant Accelerometer
Micromachines, 2022 There is mutual coupling between amplitude control and frequency tracking control in the closed-loop control of micromechanical resonant sensors, which restricts sensor performance.
Heng Liu, Jiale Wu, Yu Zhang
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Российский технологический журнал, 2017 In the paper the classic problem of N bodies is treated as if the mass of one body (the Sun) is much larger than the mass of the rest mutually gravitating bodies. We take as the unperturbed motion the movement of a planet in an elliptical orbit, with the
N. A. Akulova +2 more
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