Results 11 to 20 of about 320,011 (310)

On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems

open access: yesElectronic 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
doaj   +1 more source

Non-contact atomic force microscope: Modeling and simulation using van der Pol averaging method [PDF]

open access: yesИзвестия 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
doaj   +1 more source

The partial averaging method [PDF]

open access: yesJournal 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.
openaire   +3 more sources

THE INFLUENCE OF THE GRAVITATIONAL PERTURBATIONS OF THE SOLAR SYSTEM PLANETS ON THE EVOLUTION OF THEIR ORBITS’ ECCENTRICITIES AND INCLINATIONS

open access: yesРоссийский 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
doaj   +1 more source

On the averaging of differential inclusions with maxima [PDF]

open access: yes, 2023
We apply the averaging method to ordinary differential inclusions with maxima perturbed by a small parameter and illustrate the method by some ...
Bar, Bachir, Bachir Bar
core   +1 more source

Discretization in the method of averaging [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
Let f : R ×
openaire   +2 more sources

The averaged Lagrangian method

open access: yesJournal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celledoni, Elena, Høiseth, Eirik Hoel
openaire   +2 more sources

Averaging method for systems with separatrix crossing [PDF]

open access: yes, 2017
The averaging method provides a powerful tool for studying evolution in near-integrable systems. Existence of separatrices in the phase space of the underlying integrable system is an obstacle for application of standard results that justify using of ...
Anatoly Neishtadt   +1 more
core   +2 more sources

Averaging method and two-sided bounded solutions on the axis of systems with impulsive effects at non-fixed times

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The averaging method, originally offered by Krylov and Bogolyubov for ordinary differential equations, is one of the most widespread and effective methods for the analysis of nonlinear dynamical systems.
O.N. Stanzhytskyi   +2 more
doaj   +1 more source

Rotations of a Rigid Body Close to the Lagrange Case under the ‎Action of Nonstationary Perturbation Torque [PDF]

open access: yesJournal 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
doaj   +1 more source

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