Results 11 to 20 of about 1,134,462 (290)
Averaging method for systems with separatrix crossing [PDF]
, 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 ...
Neishtadt, Anatoly
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The Whitham Modulation Solution of the Complex Modified KdV Equation
Mathematics, 2023 This paper primarily concerns the Whitham modulation equation of the complex modified Korteweg–de Vries (cmKdV) equation with a step-like initial value. By utilizing the Lax pair, we derive the N-genus Whitham equations via the averaging method.
Shijie Zeng, Yaqing Liu
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Mathematical Modelling and Analysis, 2016 We consider averaging methods for solving the 3-D boundary-value problem of second order in multilayer domain. The special hyperbolic and exponential type splines, with middle integral values of piece-wise smooth function interpolation are considered ...
Andris Buikis +2 more
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Axioms, 2022 In this paper, we use the averaging method to find an approximate solution for the optimal control of non-linear differential inclusions with fast-oscillating coefficients on a finite time interval.
Tetiana Zhuk +2 more
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Application of the averaging method to the gyrokinetic plasma [PDF]
, 2006 we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
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Commutator method for averaging lemmas
Analysis & PDE, 2022 We introduce a commutator method with multipliers to prove averaging lemmas, the regularizing effect for the velocity average of solutions for kinetic equations. This method requires only elementary techniques in Fourier analysis and shows a new range of assumptions that are sufficient for the velocity average to be in $L^2([0,T],H^{1/2}_x).$ This ...
Jabin, Pierre-Emmanuel +2 more
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Finite bias visibility of the electronic Mach-Zehnder interferometer [PDF]
, 2007 We present an original statistical method to measure the visibility of interferences in an electronic Mach-Zehnder interferometer in the presence of low frequency fluctuations.
Cavanna, A. +7 more
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Моделирование и анализ информационных систем, 2014 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We construct the asymptotics for the solutions of the considered systems in a critical case.
P. N. Nesterov
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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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The average method is much better than average
Journal of Computational and Applied Mechanics, 2021 Operator splitting is a powerful method for the numerical investigation of complex time-dependent models, where the stationary (elliptic) part consists of a sum of several structurally simpler sub-operators. As an alternative to the classical splitting methods, a new splitting scheme is proposed here, the Average Method with sequential splitting.
Lívia Boda +2 more
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