Results 11 to 20 of about 233,514 (304)
Mathematics, 2023 This paper focuses on the modification of the large parameter approach (LPA), a novelty procedure, for estimating the periodic solutions of two degrees-of-freedom (DOF) autonomous quasi-linear systems with a first integral.
A. I. Ismail, T. S. Amer, W. S. Amer
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Existence Results for the Conformal Dirac–Einstein System
Advanced Nonlinear Studies, 2021 We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.
Guidi Chiara +2 more
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Mathematical Modelling and Analysis, 2008 A method of averaging along characteristics of weakly nonlinear hyperbolic systems, which was presented in earlier works of the author for one dimensional waves, is generalized for some cases of multidimensional wave problems.
Aleksandras Krylovas
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Nonlinear Analysis, 2010 The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed.
A. Krylovas +2 more
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Journal of Modern Power Systems and Clean Energy, 2022 This letter extends the complex-variable perturbed Gauss-Newton method to estimate the state of unbalanced power systems by exploiting the Fortescue transformation.
Izudin Dzafic
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Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele D'Ambrosio +2 more
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Perturbative subtraction methods [PDF]
Nuclear Physics B - Proceedings Supplements, 2000 Talk presented at LATTICE99(algorithms)
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Kruskal's Perturbation Method [PDF]
Journal of Mathematical Physics, 1970 A general method for eliminating the angle variable from the equations of a perturbed periodic motion and for deriving an ``adiabatic invariant'' J has been given by Kruskal and, for a special class of Hamiltonian systems, McNamara and Whiteman have shown (to order ε2) that J is related to a set of invariants I obtained from the expansion of Poisson ...
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An upper bound for validity limits of asymptotic analytical approaches based on normal form theory [PDF]
, 2012 Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched.
LAMARQUE, Claude-Henri +2 more
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Rational Homotopy Perturbation Method [PDF]
Journal of Applied Mathematics, 2012 The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method (RHPM) as a novel tool with high potential to find approximate solutions for nonlinear differential equations ...
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