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Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations [PDF]
Journal of Inequalities and Applications, 2007 By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results
Jin Liang, Ti-Jun Xiao, James Liu
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Computational singular perturbation analysis of brain lactate metabolism. [PDF]
PLoS ONE, 2019 Lactate in the brain is considered an important fuel and signalling molecule for neuronal activity, especially during neuronal activation. Whether lactate is shuttled from astrocytes to neurons or from neurons to astrocytes leads to the contradictory ...
Dimitris G Patsatzis +3 more
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Motion control and singular perturbation algorithms for lower limb rehabilitation robots [PDF]
Frontiers in NeuroroboticsTo better assist patients with lower limb injuries in their rehabilitation training, this paper focuses on motion control and singular perturbation algorithms and their practical applications.
Yanchun Xie +5 more
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Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix
Applied SciencesA rigorous perturbation analysis is presented for the singular value decomposition (SVD) of a real matrix with full column rank. It is proved that the SVD perturbation problem is well posed only when the singular values are distinct.
Vera Angelova, Petko Petkov
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Singular Perturbation of Nonlinear Systems with Regular Singularity [PDF]
Discrete Dynamics in Nature and Society, 2018 We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc
Domingos H. U. Marchetti +1 more
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A Second-Order Singular Perturbation for Model Simplification for a Microgrid
Energies, 2023 As the integration of electronic-interfaced devices have increased, microgrid models have become too complex to perform a stability analysis. Thus, an effective model simplification method keeping most dynamics of the system becomes very essential ...
Xiao-Qi Yin, Bao-Shun Yang, Jun Tao
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Long Wavelength Coherency in Well Connected Electric Power Networks
IEEE Access, 2022 We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations.
Julian Fritzsch, Philippe Jacquod
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Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
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The Super-Diffusive Singular Perturbation Problem
Mathematics, 2020 In this paper we study a class of singularly perturbed defined abstract Cauchy problems.
Edgardo Alvarez, Carlos Lizama
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Singular Perturbations in Option Pricing [PDF]
SIAM Journal on Applied Mathematics, 2003 In an earlier paper [Int. J. Theor. Appl. Finance 3, No. 1, 101--142 (2000; Zbl 1153.91497)] concerning stochastic volatility models (in which the volatility is driven by an additional Brownian motion), the authors have shown that, in the presence of a separation of time scales between the main observerd process and the volatility driving process ...
George Papanicolaou +3 more
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