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Journal articles on the topic 'Singular models'

Author: Grafiati

Published: 5 June 2025

Last updated: 16 July 2025

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1

Bijura, Angelina M. "Asymptotics of integrodifferential models with integrable kernels II." International Journal of Mathematics and Mathematical Sciences 2003, no. 50 (2003): 3153–69. http://dx.doi.org/10.1155/s0161171203301358.

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Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.

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2

Akram, M. S., V. Lomadze, H. Mahmood, and M. K. Zafar. "(Singular) state models and (singular) LTID systems." International Journal of Control 87, no. 3 (2013): 567–80. http://dx.doi.org/10.1080/00207179.2013.849819.

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3

Arashi, M., and S. Nadarajah. "On singular elliptical models." Communications in Statistics - Theory and Methods 46, no. 1 (2016): 247–58. http://dx.doi.org/10.1080/03610926.2014.990103.

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4

Nyawelo, T. S., F. Riccioni, J. W. van Holten та S. Groot Nibbelink. "Singular supersymmetric σ-models". Nuclear Physics B 663, № 1-2 (2003): 60–78. http://dx.doi.org/10.1016/s0550-3213(03)00386-9.

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5

Belashev, Boris. "Singular-spectral climate models." E3S Web of Conferences 623 (2025): 01019. https://doi.org/10.1051/e3sconf/202562301019.

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In this paper, the singular spectrum analysis method is used to construct data models for the Onega Lake basin: time series of air temperature, precipitation, and runoff of the Shuya, Suna, and Vodla rivers. The model is represented by a trend, seasonality, and noise formed from the components of the singular decomposition of a special matrix of the time series of data. The model is used to describe the variability of the time series variability, reconstruct gaps, and perform a forecast. Models with different numbers of noise components included in the seasonal component are analyzed. It is sh

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6

Bijura, Angelina M. "Asymptotics of integrodifferential models with integrable kernels." International Journal of Mathematics and Mathematical Sciences 2003, no. 25 (2003): 1577–98. http://dx.doi.org/10.1155/s0161171203209091.

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The additive decomposition singular perturbation method and the theory of fractional integration are used to study asymptotic solutions of singularly perturbed Volterra integrodifferential equations with kernels having integrable singularity. The validity of the approximation is also demonstrated.

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7

Akram, M. S., V. Lomadze, H. Mahmood, and M. K. Zafar. "Addendum to ‘(Singular) state models and (singular) LTID systems’." International Journal of Control 87, no. 6 (2014): 1312–15. http://dx.doi.org/10.1080/00207179.2013.869836.

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8

FUKUMIZU, KENJI. "Statistical Estimation in Singular Models." Brain & Neural Networks 10, no. 4 (2003): 201–10. http://dx.doi.org/10.3902/jnns.10.201.

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9

FERNÁNDEZ-JAMBRINA, L., and L. M. GONZÁLEZ-ROMERO. "NON-SINGULAR RADIATION COSMOLOGICAL MODELS." Modern Physics Letters A 19, no. 08 (2004): 583–95. http://dx.doi.org/10.1142/s0217732304013404.

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In this paper we analyse the possibility of constructing singularity-free inhomogeneous cosmological models with a pure radiation field as matter content. It is shown that the conditions for regularity are very easy to implement and therefore there is a huge number of such spacetimes.

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10

Berezovskaya, Faina S., Artem S. Novozhilov, and Georgy P. Karev. "Population models with singular equilibrium." Mathematical Biosciences 208, no. 1 (2007): 270–99. http://dx.doi.org/10.1016/j.mbs.2006.10.006.

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11

Deistler, Manfred, and Martin Wagner. "Cointegration in singular ARMA models." Economics Letters 155 (June 2017): 39–42. http://dx.doi.org/10.1016/j.econlet.2017.03.001.

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12

Mohsenipour, Shahram. "On Keisler singular-like models." MLQ 54, no. 3 (2008): 330–36. http://dx.doi.org/10.1002/malq.200710047.

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13

Zhan, Feibiao, Yingteng Zhang, Jian Song, and Shenquan Liu. "Canard Mechanism and Rhythm Dynamics of Neuron Models." Mathematics 11, no. 13 (2023): 2874. http://dx.doi.org/10.3390/math11132874.

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Canards are a type of transient dynamics that occur in singularly perturbed systems, and they are specific types of solutions with varied dynamic behaviours at the boundary region. This paper introduces the emergence and development of canard phenomena in a neuron model. The singular perturbation system of a general neuron model is investigated, and the link between the transient transition from a neuron model to a canard is summarised. First, the relationship between the folded saddle-type canard and the parabolic burster, as well as the firing-threshold manifold, is established. Moreover, th

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14

JAGER, LISETTE, and SATYANAD KICHENASSAMY. "STELLAR MODELS AND IRREGULAR SINGULARITIES." Communications in Contemporary Mathematics 05, no. 05 (2003): 719–35. http://dx.doi.org/10.1142/s0219199703001130.

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This paper proves two results on the determination of asymptotics of solutions of linear and nonlinear ODE. The first shows the stability of singular solutions of the point-source model of stellar structure. It hinges on the solution of a singular initial-value problem where data are prescribed at the singularity. As a further illustration of the use of such singular problems, a simple method to determine the eigenfunction asymptotics for problems with long-range potentials is included.

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15

Raskovic, Miodrag. "Completeness Theorem for Singular Biprobability Models." Proceedings of the American Mathematical Society 102, no. 2 (1988): 389. http://dx.doi.org/10.2307/2045894.

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16

Stinis, Panos. "Renormalized reduced models for singular PDEs." Communications in Applied Mathematics and Computational Science 8, no. 1 (2013): 39–66. http://dx.doi.org/10.2140/camcos.2013.8.39.

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17

Raškovi{ć, Miodrag. "Completeness theorem for singular biprobability models." Proceedings of the American Mathematical Society 102, no. 2 (1988): 389. http://dx.doi.org/10.1090/s0002-9939-1988-0921005-2.

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18

Machina, A., R. Edwards, and P. van den Driessche. "Singular Dynamics in Gene Network Models." SIAM Journal on Applied Dynamical Systems 12, no. 1 (2013): 95–125. http://dx.doi.org/10.1137/120872747.

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19

Lee, Woojoo, and Youngjo Lee. "Random-effect models with singular precision." Journal of Statistical Planning and Inference 143, no. 12 (2013): 2128–41. http://dx.doi.org/10.1016/j.jspi.2013.07.007.

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20

Hanyga, A. "Anisotropic viscoelastic models with singular memory." Journal of Applied Geophysics 54, no. 3-4 (2003): 411–25. http://dx.doi.org/10.1016/j.jappgeo.2003.08.013.

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21

Karatzas, Ioannis, John P. Lehoczky, and Steven E. Shreve. "Equilibrium Models With Singular Asset Prices." Mathematical Finance 1, no. 3 (1991): 11–29. http://dx.doi.org/10.1111/j.1467-9965.1991.tb00013.x.

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22

Degtyarev, Alex. "Smooth models of singular $K3$-surfaces." Revista Matemática Iberoamericana 35, no. 1 (2019): 125–72. http://dx.doi.org/10.4171/rmi/1051.

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23

Masmoudi, Khalil, and Afif Masmoudi. "Singular Gaussian graphical models: Structure learning." Communications in Statistics - Simulation and Computation 47, no. 10 (2017): 3106–17. http://dx.doi.org/10.1080/03610918.2017.1371747.

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24

Anderson, Brian D. O., Manfred Deistler, Weitian Chen, and Alexander Filler. "Autoregressive models of singular spectral matrices." Automatica 48, no. 11 (2012): 2843–49. http://dx.doi.org/10.1016/j.automatica.2012.05.047.

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25

Bas, Erdal, Bahar Acay, and Ramazan Ozarslan. "Fractional models with singular and non-singular kernels for energy efficient buildings." Chaos: An Interdisciplinary Journal of Nonlinear Science 29, no. 2 (2019): 023110. http://dx.doi.org/10.1063/1.5082390.

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26

Liao, Wenyuan, Adrian Sandu, Gregory R. Carmichael, and Tianfeng Chai. "Singular Vector Analysis for Atmospheric Chemical Transport Models." Monthly Weather Review 134, no. 9 (2006): 2443–65. http://dx.doi.org/10.1175/mwr3158.1.

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Abstract The singular vectors of a chemical transport model are the directions of maximum perturbation growth over a finite time interval. They have proved useful for the estimation of error growth, the initialization of ensemble forecasts, and the optimal placement of adaptive observations. The aim of this paper is to address computational aspects of singular vector analysis for atmospheric chemical transport models. The distinguishing feature of these models is the presence of stiff chemical interactions. A projection approach to preserve the symmetry of the tangent linear–adjoint operator f

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27

Alkahtani, Badr, and Abdon Atangana. "Remarks on a green functions approach to diffusion models with singular kernels in fading memories." Thermal Science 21, no. 2 (2017): 767–73. http://dx.doi.org/10.2298/tsci160421234a.

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Diffusion problems with singulars kernels in fading memories are very interesting physical problem that have attracted attention of many researchers. In this paper, we aim to provide exact solutions of these problems using the green function method with some integral transform operators. The singular kernel used in this paper is based upon the power law function, which is used to construct the well-known Riemann-Liouville derivative with fractional order.

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28

Nakajima, Naomichi, and Toru Ohmoto. "The dually flat structure for singular models." Information Geometry 4, no. 1 (2021): 31–64. http://dx.doi.org/10.1007/s41884-021-00044-8.

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29

Peixoto, Julio L. "Testable hypotheses in singular fixed linear models." Communications in Statistics - Theory and Methods 15, no. 6 (1986): 1957–73. http://dx.doi.org/10.1080/03610928608829228.

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30

Caprau, Carmen, Tsutomu Okano, and Danny Orton. "Singular links and Yang-Baxter state models." Rocky Mountain Journal of Mathematics 46, no. 6 (2016): 1867–98. http://dx.doi.org/10.1216/rmj-2016-46-6-1867.

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31

Drton, Mathias, and Martyn Plummer. "A Bayesian information criterion for singular models." Journal of the Royal Statistical Society: Series B (Statistical Methodology) 79, no. 2 (2017): 323–80. http://dx.doi.org/10.1111/rssb.12187.

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32

Srivastava, Muni S., and Dietrich von Rosen. "Regression models with unknown singular covariance matrix." Linear Algebra and its Applications 354, no. 1-3 (2002): 255–73. http://dx.doi.org/10.1016/s0024-3795(02)00342-7.

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33

Long, Jianmin, Rui Xiao, and Wen Chen. "Fractional viscoelastic models with non-singular kernels." Mechanics of Materials 127 (December 2018): 55–64. http://dx.doi.org/10.1016/j.mechmat.2018.07.012.

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34

Tian, Lixin, and Lu Sun. "Singular solitons of generalized Camassa–Holm models." Chaos, Solitons & Fractals 32, no. 2 (2007): 780–99. http://dx.doi.org/10.1016/j.chaos.2005.11.023.

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35

Sun Lu and Tian Li-Xin. "Singular solitons of generalized Camassa-Holm models." Acta Physica Sinica 56, no. 7 (2007): 3667. http://dx.doi.org/10.7498/aps.56.3667.

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36

Krueger, John. "Guessing models imply the singular cardinal hypothesis." Proceedings of the American Mathematical Society 147, no. 12 (2019): 5427–34. http://dx.doi.org/10.1090/proc/14739.

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37

Bouali, Mohamed. "On β-Matrix Models with Singular Potential". Mathematical Notes 104, № 1-2 (2018): 176–96. http://dx.doi.org/10.1134/s0001434618070192.

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38

Kellogg, R. B. "Some singular perturbation problems in renal models." Journal of Mathematical Analysis and Applications 128, no. 1 (1987): 214–40. http://dx.doi.org/10.1016/0022-247x(87)90227-7.

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39

Đordević, Radosav S. "Analytic completeness theorem for singular biprobability models." Mathematical Logic Quarterly 39, no. 1 (1993): 228–30. http://dx.doi.org/10.1002/malq.19930390126.

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40

Masmoudi, Khalil, and Afif Masmoudi. "An EM algorithm for singular Gaussian mixture models." Filomat 33, no. 15 (2019): 4753–67. http://dx.doi.org/10.2298/fil1915753m.

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In this paper, we introduce finite mixture models with singular multivariate normal components. These models are useful when the observed data involves collinearities, that is when the covariance matrices are singular. They are also useful when the covariance matrices are ill-conditioned. In the latter case, the classical approaches may lead to numerical instabilities and give inaccurate estimations. Hence, an extension of the Expectation Maximization algorithm, with complete proof, is proposed to derive the maximum likelihood estimators and cluster the data instances for mixtures of singular

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41

Sabir, Zulqurnain, Hafiz Abdul Wahab, and Juan L. G. Guirao. "A novel design of Gudermannian function as a neural network for the singular nonlinear delayed, prediction and pantograph differential models." Mathematical Biosciences and Engineering 19, no. 1 (2021): 663–87. http://dx.doi.org/10.3934/mbe.2022030.

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<abstract> <p>The present work is to solve the nonlinear singular models using the framework of the stochastic computing approaches. The purpose of these investigations is not only focused to solve the singular models, but the solution of these models will be presented to the extended form of the delayed, prediction and pantograph differential models. The Gudermannian function is designed using the neural networks optimized through the global scheme "genetic algorithms (GA)", local method "sequential quadratic programming (SQP)" and the hybridization of GA-SQP. The comparison of th

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42

GRUNDBERG, J., T. H. HANSSON, A. KARLHEDE, and J. M. LEINAAS. "ON SINGULAR ANYON WAVEFUNCTIONS." Modern Physics Letters B 05, no. 07 (1991): 539–46. http://dx.doi.org/10.1142/s0217984991000642.

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We show that quantum mechanics allows anyon wavefunctions that are singular as the particles approach each other. An extra real parameter, which determines the nature of this singular behaviour, is necessary to have a well defined quantum mechanical problem. In realistic models, anyons are expected to have an internal structure, corresponding to a smearing of the statistical flux. We study such models and find that, in generic cases, only regular wavefunctions are allowed.

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43

Sweilam, Nasser, S. M. Al−Mekhlafi, Aya Ahmed, Doaa Mohamed, and Emad Abo-Eldahab. "Impact of Singular and Non-Singular Kernels on Crossover Monkeypox Mathematical Model." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5913. https://doi.org/10.29020/nybg.ejpam.v18i2.5913.

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This study presents three crossover models describing monkeypox disease that includes Caputo, MittagLeffler, and Caputo Fabrizio definitions. To represent a monkeypox disease, three models of variable-order fractional, fractal-fractional, and stochastic, as well as their piecewise derivatives are provided at three different time periods. To approximate these models, we use the nonstandard Grunwald ¨ −Letnikov finite difference method to approximate the deterministic model with a singular kernel and a nonsingular Mittag-Leffler kernel to approximate the deterministic model using the Toufik-Atan

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44

DALLEY, S., C. V. JOHNSON, T. R. MORRIS, and A. WÄTTERSTAM. "UNITARY MATRIX MODELS AND 2D QUANTUM GRAVITY." Modern Physics Letters A 07, no. 29 (1992): 2753–62. http://dx.doi.org/10.1142/s0217732392002226.

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The KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system — open-closed string theory. Non-perturbative solutions of the multicritical unitary matrix models map to non-singular solutions of the 'renormalization group' equation for the string susceptibility, [Formula: see text]. We also demonstrate that the large-N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of [Formula: see text].

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45

Li, Jibin, Guanrong Chen, and Shengfu Deng. "Smooth Exact Traveling Wave Solutions Determined by Singular Nonlinear Traveling Wave Systems: Two Models." International Journal of Bifurcation and Chaos 29, no. 04 (2019): 1950047. http://dx.doi.org/10.1142/s0218127419500470.

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For a singular nonlinear traveling wave system of the first class, if there exist two node points of the associated regular system in the singular straight line, then the dynamics of the solutions of the singular system will be very complex. In this paper, two representative nonlinear traveling wave system models (namely, the traveling wave system of Green–Naghdi equations and the traveling wave system of the Raman soliton model for optical metamaterials) are investigated. It is shown that, if there exist two node points of the associated regular system in the singular straight line, then the

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46

Ginoux, Jean-Marc, and Jaume Llibre. "Canards Existence in FitzHugh-Nagumo and Hodgkin-Huxley Neuronal Models." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/342010.

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In a previous paper we have proposed a new method for proving the existence of “canard solutions” for three- and four-dimensional singularly perturbed systems with only onefastvariable which improves the methods used until now. The aim of this work is to extend this method to the case of four-dimensional singularly perturbed systems with twoslowand twofastvariables. This method enables stating a unique generic condition for the existence of “canard solutions” for such four-dimensional singularly perturbed systems which is based on the stability offolded singularities(pseudo singular pointsin t

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47

Guillén Santos, F., V. Navarro, P. Pascual, and Agustí Roig. "Monoidal Functors, Acyclic Models and Chain Operads." Canadian Journal of Mathematics 60, no. 2 (2008): 348–78. http://dx.doi.org/10.4153/cjm-2008-017-7.

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AbstractWe prove that for a topological operad P the operad of oriented cubical singular chains, , and the operad of simplicial singular chains, S*(P), are weakly equivalent. As a consequence, is formal if and only if is formal, thus linking together some formality results which are spread out in the literature. The proof is based on an acyclic models theorem for monoidal functors. We give different variants of the acyclic models theorem and apply the contravariant case to study the cohomology theories for simplicial sets defined by R-simplicial differential graded algebras.

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48

Journal, Baghdad Science. "Limits between the Cosmological Parameters from Strong Lensing Observations for Generalized Isothermal Models." Baghdad Science Journal 6, no. 2 (2009): 394–400. http://dx.doi.org/10.21123/bsj.6.2.394-400.

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This paper including a gravitational lens time delays study for a general family of lensing potentials, the popular singular isothermal elliptical potential (SIEP), and singular isothermal elliptical density distribution (SIED) but allows general angular structure. At first section there is an introduction for the selected observations from the gravitationally lensed systems. Then section two shows that the time delays for singular isothermal elliptical potential (SIEP) and singular isothermal elliptical density distributions (SIED) have a remarkably simple and elegant form, and that the resul

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49

Liu, Xiancheng, Peng Chen, Zili Xie, et al. "Dependence of GaN Exciton Energy on Temperature." Crystals 15, no. 2 (2025): 137. https://doi.org/10.3390/cryst15020137.

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In this paper, we investigate the relationship between GaN exciton energy and temperature by using high-quality, strain-free GaN epilayers. Traditional models, such as Varshni’s model and the Bose–Einstein model, are primarily based on empirical fitting and give little or no consideration to electron–phonon interactions, which prevents them from accurately calculating GaN exciton energy over a wide temperature range. Considering the interaction of electrons and phonons, we use singular functions, linear functions and power functions to express the phonon density of GaN, and then 2BE, singular-

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50

BUET, C., S. CORDIER, and P. A. RAVIART. "MULTIFLUID IONIZATION MODELS." Mathematical Models and Methods in Applied Sciences 12, no. 01 (2002): 17–48. http://dx.doi.org/10.1142/s0218202502001532.

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In this paper, we present a multi-fluid ionization model. We prove that this stationary, mono-dimensional model has a maximal solution which is not global at variance with the mono-species case and we present a numerical method for solving this highly singular system of ordinary differential equations. Numerical results are compared with those obtained for other models.

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