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Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model [article]

Manh Tuan Hoang
2021 arXiv   pre-print
The aim of this work is to study qualitative dynamical properties of a generalized hepatitis B epidemic model and its dynamically consistent discrete model.  ...  Slezak, A second-order modified nonstan- dard theta method for one-dimensional autonomous differential equations, Applied Mathematics Letters 112(2021) 106775.  ...  Kojouharov, Second-order Nonstandard Explicit Euler Method, AIP Conference Proceedings 2302(2020) 110003. [27] N. C. Grassly, C.  ... 
arXiv:2112.06284v1 fatcat:5gi5zdmkenesnk42ybwcxq6tsm

Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials [article]

Yurii V. Brezhnev
2012 arXiv   pre-print
In particular, extensions by Jacobi's θ-functions lead to the (quadrature) algebraically integrable equations for the θ-functions themselves.  ...  We show that duality between spectral and quadrature approaches is realized through the Weierstrass permutation theorem for a logarithmic Abelian integral.  ...  As a last counterexample we consider an equation that leads, on the one hand, to a nonstandard case of the inversion problem, and, on the other hand, to a nonlinear x-evolution in a theta-function argument  ... 
arXiv:1011.1642v2 fatcat:eql6yfcqzza4hboueidgbigxtu

Exact and Nonstandard Finite Difference Schemes for the Burgers Equation B(2,2)

2021 Turkish Journal of Mathematics  
In this paper, we consider the Burgers equation B(2, 2) . Exact and nonstandard finite difference schemes (NSFD) for the Burgers equation B(2, 2) are designed.  ...  First, two exact finite difference schemes for the Burgers equation B(2, 2) are proposed using traveling wave solution. Then, two NSFD schemes are represented for this equation.  ...  [5] developed a new class of elementary stable NSFD schemes for general two-dimensional autonomous dynamical systems based on the standard Euler and second-order Runge-Kutta methods. Jodar et al.  ... 
doi:10.3906/mat-2009-51 fatcat:pr3angxygffavapn3e2phw4fr4

Index: Volumes 21-30

1971 Proceedings of the American Mathematical Society  
IP Kreith, Kurt 5P 35J20 Second order equations, variational methods Chow, Kwang-nan IS Glasner, Moses IS 35J25 Second order equations, boundary value problems 35J30 Higher order equations  ...  ' 43A15 Martin, Robert H., Jr. 1 A bound for solutions of Volterra-Stieltjes integral equations, 23 (1969), 506-512. 45D05 2 A global existence theorem for autonomous differential equations  ... 
doi:10.1090/s0002-9939-71-99972-2 fatcat:fh3qmht755dope6cfo3csgim2i

General index, 1965-1974: Research announcements

1975 Bulletin of the American Mathematical Society  
, 77, 360 -Periodic solutions of autonomous functional differential equations, 79, 811 .  ...  ., A theo-Gilbert, Robert P. and Kukral, D., Function rem of Stout, 75, 953 theoretic methods for higher order, ellip-Goldstein, Ronald A. and Saeks, R., Trace tic equations in three independent vari-class  ...  A. Sher, R. B. See Ball, B. J. Sherman, Thomas L., On solutions of nth order linear differential equations with n zeros, 74, 923 Shields, A. L. See Douglas, R. G. . See Rubel, L. A.  ... 
doi:10.1090/s0002-9904-1975-13804-3 fatcat:atkshf2s7jfe3o7bgu62xbbbpy

Geometric integrators for ODEs

Robert I McLachlan, G Reinout W Quispel
2006 Journal of Physics A: Mathematical and General  
In this paper we present a survey of geometric numerical integration methods for ordinary differential equations.  ...  Geometric integration is the numerical integration of a differential equation, while preserving one or more of its "geometric" properties exactly, i.e. to within round-off error.  ...  Acknowledgments The authors are grateful to W-J Beyn and Shang Zai-jiu for useful correspondence, and to David McLaren, Stephen Marsland, Dion O'Neale, Brett Ryland, Will Wright, and Philip Zhang for their  ... 
doi:10.1088/0305-4470/39/19/s01 fatcat:2m2xrbmywjawldihzjxpdie4nm

A Question in General Relativity

L. I. Schiff
1939 Proceedings of the National Academy of Sciences of the United States of America  
This article defines an acceptable homogeneous behaviour based on existing standards, and explains how to obtain it.  ...  The computational approach is providing essential guidance and analysis for the commissioning and operation of SNS.  ...  the total energy or energy spread for a bunched beam can be described by a set of first order non-autonomous ordinary differential equations.  ... 
doi:10.1073/pnas.25.7.391 pmid:16577922 pmcid:PMC1077928 fatcat:r5owced7cvgh7cqzw77ed36zt4

Global Magnetometer-Based Spacecraft Attitude and Rate Estimation

Mark L. Psiaki
2004 Journal of Guidance Control and Dynamics  
Their respective accuracies are on the order of arc seconds and tenths of a degree per hour.  ...  This is nonstandard for an SRIF, but it poses no difficulties for the method. The availability of Xo eliminates the need to invert Ryxo9.  ... 
doi:10.2514/1.1039 fatcat:uk5edq5s5zchxdkq4ib6fq6xdy

Page 1219 of Mathematical Reviews Vol. 24, Issue Index [page]

Mathematical Reviews  
of special second-order initial-value problems and their application to the one-dimensional Schrédinger equation.  ...  — Starting methods for numerical solution of a singular system of ordinary differential equations of the second order. 92¢:65094 Shirkov, P.D.  ... 

Wavelet analysis in neurodynamics

Aleksei N Pavlov, Aleksandr E Hramov, Aleksei A Koronovskii, Evgenija Yu Sitnikova, Valeri A Makarov, Alexey A Ovchinnikov
2012 Physics Uspekhi  
Results obtained using continuous and discrete wavelet transforms as applied to problems in neurodynamics are reviewed, with the emphasis on the potential of wavelet analysis for decoding signal information  ...  Acknowledgments The authors are deeply grateful to N A Brazhe and A R Brazhe for numerous discussions and the joint work on the analysis of intracellular dynamics, to G van Luijtelaar for many helpful  ...  considerations and the joint work covering the analysis of brain activity from recorded EEGs, and to O V Ivanov for advising on the discrete wavelet transform theory and the high-precision (64 discharges  ... 
doi:10.3367/ufne.0182.201209a.0905 fatcat:nbxzthms5fggtbovzdbbp7gluu

Intelligence and Cognitive Control [chapter]

Adam Chuderski, Edward Nęcka
2010 Handbook of Individual Differences in Cognition  
Our research has shown WM capacity to be a moderator of the impact of subclinical depression on reasoning, yet questions arise about methodologically more important mediating variable(s) of this relationship  ...  An intriguing review of research concerning the effects of mind wandering on cognitive function performance (see McVay & Kane, this volume) points to one potentially fruitful  ...  items (Revelle & Zinbarg, 2009; Zinbarg et al., 2005) . w h is found by extracting a general, second order factor from the obliquely rotated first order factors, and then through a Schmid-Leiman transformation  ... 
doi:10.1007/978-1-4419-1210-7_16 fatcat:itedvhvceratlgg74gnnweasbm

Preview of Abstracts Fifth Annual Conference of the IEEE Engineering in Medicine and Biology Society

1983 IEEE Transactions on Biomedical Engineering  
This paper describes a syntactic pattern recognition method for the evaluation of abnormalities in human gait.  ...  First, what is the best control algorithm for a TAH configured out of existing energy converters and the CCF biolized pusher plate pump? Second, is it possible to broaden the scope of this  ...  For a two-dimensional aperture, matrix dimension increases and conditioning rapidly deteriorates as object size increases. This paper investigates a one-dimensional aperture as a potential solution.  ... 
doi:10.1109/tbme.1983.325152 fatcat:5ytnmjovmbbexh2nd7x322enge

Anatomy of Quantum Chaotic Eigenstates [chapter]

Stéphane Nonnenmacher
2013 Chaos  
I am grateful to E.Bogomolny for allowing me to reproduce several figures from  ...  These two conjectures appeal to different methods: the second one is a purely statistical problem, while the first one belongs to the "chaotic=random" meta-conjecture. 5.2. Other nodal observables.  ...  Berry [20] argued that for the 2-dimensional random model (29) , the variance should be of order log(k), showing an unusually strong concentration property for this random variable.  ... 
doi:10.1007/978-3-0348-0697-8_6 fatcat:tug53qv4mvdahnkqr53m5opkrq

Such stuff as dreams are made on? Elaborative encoding, the ancient art of memory, and the hippocampus

Sue Llewellyn
2013 Behavioral and Brain Sciences  
During REM sleep, on the phenomenological level, this composite image is experienced as a dream scene.  ...  AbstractThis article argues that rapid eye movement (REM) dreaming is elaborative encoding for episodic memories.  ...  A second key element of the AAOM is the Method of Loci.  ... 
doi:10.1017/s0140525x12003135 pmid:24304746 fatcat:zd3fuigkvvfizipnxyfqmnrmmu

Anatomy of quantum chaotic eigenstates [article]

Stéphane Nonnenmacher
2012 arXiv   pre-print
The levels of description are macroscopic (one wants to understand the quantum averages of smooth observables), and microscopic (one wants informations on maxima of eigenfunctions, "scars" of periodic  ...  The eigenfunctions of quantized chaotic systems cannot be described by explicit formulas, even approximate ones.  ...  These two conjectures appeal to different methods: the second one is a purely statistical problem, while the first one belongs to the "chaotic=random" meta-conjecture.  ... 
arXiv:1005.5598v2 fatcat:f53kwfxmsfdw3odq4c4ynnacha
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