Results 11 to 20 of about 66,767 (293)
Linear perturbations of ordinary differential equations [PDF]
Proceedings of the American Mathematical Society, 1970 We present several results dealing with the problem of the preservation of the stability of a system x ′ = A ( t ) x x’ = A(t)x which is subject to linear perturbations B ( t ) x B(t)x , or to perturbations ...
Strauss, Aaron, Yorke, James A.
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Perturbation of domain: ordinary differential equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002 We study a boundary perturbation problem for a one-dimensional Schrödinger equation in which the potential has a regular singularity near the perturbed end point. We give the asymptotic behaviour of the eigenvalues under the perturbation. This problem arose out of the author's studies of singular elliptic operators in higher dimensions and we ...
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A perturbative solution to metadynamics ordinary differential equation [PDF]
The Journal of Chemical Physics, 2015 Metadynamics is a popular enhanced sampling scheme wherein by periodic application of a repulsive bias, one can surmount high free energy barriers and explore complex landscapes. Recently, metadynamics was shown to be mathematically well founded, in the sense that the biasing procedure is guaranteed to converge to the true free energy surface in the ...
Pratyush Tiwary +2 more
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Averaging for ordinary differential equations perturbed by a small parameter [PDF]
Mathematica Bohemica, 2016 In averaging theory, it is well known that the solutions to a nonautonomous ordinary differential equation of the form \[ x'(t)=f(t/\varepsilon,x(t)) \] are well approximated by solutions of the autonomous equation \[ y'(t)=f^0(y(t)), \] where the right-hand side \(f^0\) is given by \[ f^0(x)=\lim_{T\to\infty}\frac{1}{T}\int_0^T f(\tau,x)\,\mathrm{d ...
Mustapha Lakrib +2 more
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Least Square Homotopy Perturbation Method for Ordinary Differential Equations [PDF]
Journal of Mathematics, 2021 In this study, a new modification of the homotopy perturbation method (HPM) is introduced for various order boundary value problems (BVPs). In this modification, HPM is hybrid with least square optimizer and named as the least square homotopy perturbation method (LSHPM). The proposed scheme is tested against various linear and nonlinear BVPs (second to
Mubashir Qayyum, Imbsat Oscar
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A two-step perturbation technique for nonuniform single and differential lines [PDF]
, 2013 A novel two-step perturbation technique to analyze nonuniform single and differential transmission lines in the frequency domain is presented. Here, nonuniformities are considered as perturbations with respect to a nominal uniform line, allowing an ...
Chernobryvko, Mykola +2 more
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Universe, 2022 We investigate electromagnetic, gravitational, and plasma-related perturbations to the first order on homogeneous and hypersurface orthogonal locally rotationally symmetric (LRS) class II spacetimes.
Philip Semrén
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Asymptotic behavior of solutions of a system of nonlinear differential equations with small parameter [PDF]
E3S Web of Conferences, 2023 The present paper addresses a qualitative pattern of the behavior of solutions of a system of ordinary differential equations when small parameter tends to zero at a finite amount of time where slow variable passes through a certain point that ...
Petelina Vera
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Parametric Perturbation Problems in Ordinary Differential Equations [PDF]
Transactions of the American Mathematical Society, 1976 The asymptotic behavior of solutions of a nonlinear differential equation that arises through a nonlinear parametric perturbation of a linear system of differential equations is discussed. Fundamental hypotheses include the admissibility of a pair of Banach spaces for the linear system.
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Sparse inference and active learning of stochastic differential equations from data
Scientific Reports, 2022 Automatic machine learning of empirical models from experimental data has recently become possible as a result of increased availability of computational power and dedicated algorithms. Despite the successes of non-parametric inference and neural-network-
Yunfei Huang +3 more
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