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On the Singular Perturbations for Fractional Differential Equation [PDF]
The Scientific World Journal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the
Abdon Atangana
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Homotopic approach for turnpike and singularly perturbed optimal control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 The first aim of this article is to present the link between the turnpike property and the singular perturbations theory: the first one being a particular case of the second one.
Cots Olivier +2 more
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Singular Perturbations of Multibrot Set Polynomials
Universal Journal of Mathematics and Applications, 2022 We will give a complete description of the dynamics of the rational map $N_{F_{M_c}}(z)=\frac{3z^4-2z^3+c}{4z^3-3z^2+c}$ where c is a complex parameter. These are rational maps $N_{F_{M_c}}$ arising from Newton's method.
Figen Çilingir
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Scalable Model Selection for Spatial Additive Mixed Modeling: Application to Crime Analysis
ISPRS International Journal of Geo-Information, 2020 A rapid growth in spatial open datasets has led to a huge demand for regression approaches accommodating spatial and non-spatial effects in big data.
Daisuke Murakami +2 more
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Symmetries and perturbations of time-scale nonshifted singular systems
AIP Advances, 2023 In this work, the symmetries and perturbations of time-scale nonshifted singular Lagrangian and singular nonconservative Lagrangian systems are studied. The differential equations of motion are given. The definitions and criteria of the Noether, Lie, and
Jin Liu, Chuan-Jing Song
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Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics, 2021 This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
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Numerical and asymptotic flow stability analysis of vortex structures [PDF]
E3S Web of Conferences, 2021 Stability problem of an axisymmetric swirling flow of a viscous incompressible fluid with respect to nonaxisymmetric perturbations is considered. The system of ordinary differential equations for the amplitude functions is solved numerically by the Runge-
Akhmetov Vadim
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Ensemble singular vectors and their use as additive inflation in EnKF [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2015 Given an ensemble of forecasts, it is possible to determine the leading ensemble singular vector (ESV), that is, the linear combination of the forecasts that, given the choice of the perturbation norm and forecast interval, will maximise the growth of ...
Shu-Chih Yang +2 more
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Tellus: Series A, Dynamic Meteorology and Oceanography, 2020 This study examined tropical cyclones (TCs) Noul and Nepartak to demonstrate the evolutions of singular vector perturbations. Perturbations comprise eigen-solutions for dry total energy from two domains with different focuses, namely the TC itself and ...
John Chien-Han Tseng, Young-Sin Lai
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Singular perturbations and singular arcs. I [PDF]
IEEE Transactions on Automatic Control, 1975 Singular perturbation theory is applied to obtain the asymptotic solution for the nearly singular optimal control of a constant linear system on a finite time interval In the limit as the control cost is reduced to zero, the initial control is found to have an impulse-like behavior, while the outer solution agrees asymptotically with the familiar ...
O'Malley, Robert E. jun. +1 more
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