No 1 (2012)

Cover Page
Articles
Problem of Controllability of Nonlinear System of Special Type
Rozova V.N.

Abstract

The arcticle is dedicated to investigation of nonlinear control system of special type controllability.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):5-8
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Results on Simply-Continuous Functions
Al Bayati Jalal Hatem Hussein -.

Abstract

In this paper, we introduce new classes of simply continuous functions as generalization of continuous function. We obtain their characterizations, their basic properties and their relationships with other forms of generalized continuous functions between topological spaces.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):9-13
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Synthesis of Dynamical Systems, which Phase Portraits Contain Elementary Cells with a Prescribed Topological Structure. Part 1
Volkov S.V., Davydova M.A.

Abstract

A method for construction of differential plane dynamical systems which phase portraits have elementary cells with a prescribed topological structure is presented. The solutions of such type inverse problems of differential equations theory may be used to obtain control over dynamical systems behavior.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):14-23
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Mathematical Models of Time Series of Intensities of Network Traffic with Different Approaches to Their Creating
Gabdrakhmanov A.A., Gabdrakhmanova N.T.

Abstract

In this article the possibility of application of artificial neural networks and autoregressive analysis to creating prediction models the channel with packet data transfer describes. The problem is solved using example time row measurement intensities on port edge switch. Algorithm of building autoregressive models based on statistical analysis of time row measurements. Algorithm of neural network model on the basis of the definition of fractal dimension of time rows was shown. Built models compared to current values entered criteria for evaluating the accuracy of the prediction.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):24-33
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A Local and Semilocal Convergence of the Continuous Analogy of Newton's Method
Zhanlav T., Chuluunbaatar O.

Abstract

In this paper, a region of convergence of the continuous analogy of Newton's method is defined and an optimal choice of the parameter t is proposed. For the damped Newton's method a global convergence is proved and error bounds are obtained. The damping strategies allow one to extend the convergence domain of the initial guesses. Several damping strategies were compared. Numerical examples are given and confirm the theoretical results.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):34-43
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Using the Methods of the Image Processing in Computer Biology
Gostev I.M.

Abstract

System of image processing of undermost biological object, to permit calculate their geometric parameters in process of morphogenesis was designed. We propose criterion on which base it is possible to calculate velocities of regenerations of the lost parts from ?at worms-planaria.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):44-49
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Symplectic Integrators and the Problem of Wave Propagation in Layered Media
Gevorkyan M.N., Gladysheva J.V.

Abstract

In this paper numerical methods that preserve the symplectic structure of the Hamiltonian systems are considered. Hamiltonian is constructed for the propagation of electromagnetic waves in a strati?ed medium without any sources. Hamilton's equations are solved using symplectic second-order Runge-Kutta method.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):50-60
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Calculation of the Magnetic System by the Solution of Inverse Problem
Polyakova R.V., Yudin I.P.

Abstract

In this paper we study the problem of searching for the design of the magnetic system for creation of a magnetic field with the required characteristics in the given area. On the basis of analysis of the mathematical model of the magnetic system rather a general approach is proposed to the solving of the inverse problem, which was written by the Fredholm equation: H(z) = ? SJ(s)G(z,s)ds, z ? U, s ? S. It was necessary to define the current density distribution function J(s) and the existing winding geometry for creation of a required magnetic field H(z). In the paper a method of solving those by means of regularized iterative processes is proposed. On the base of the concrete magnetic system we perform the numerical study of influence of different factors on the character of the magnetic field being designed.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):61-69
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On Some Noncanonical Relations of Spinors to Scalars and of the Klein-Gordon and Dirac Equations
Kassandrov V.V., Markova N.V.

Abstract

We discuss various aspects of noncanonical interpretation of the problem of Lorentz invariance for the Dirac equation suggested by A. Zommerfeld in 1951. In its framework, Dirac field is treated as a quartet of scalar fields whereas spinors do not arise in the theory at all. Then we present principal results of one of the authors' 2007 paper, in which scalar Klein-Gordon fields are treated as potentials for the solutions of Dirac equation, and not as an independent field. The Dirac field then manifests itself as a gauge invariant entity.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):70-76
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Interference Holoellipsometry "in situ" of a Transparent Two-Dimensional Uniaxial Crystal at Normal Angle Laser Radiation Reflection
Ali M., Kachurin Y.Y., Kiryanov A.P., Ryjova T.A., Shapkarin I.P.

Abstract

The following issues are considered in the paper: a) method of the in situ interference holoellipsometry (ellipsometry with the complete set of measured parameters: modules and phases of complex amplitude reflection coefficients for linear p- and s-polarizations) of a transparent two-dimensional uniaxial crystal at normal reflection angle of the laser radiation under the condition that the crystal optical axis belongs to the reflecting surface; b) schematic of the holoellipsometer realizing the method and employing the Michelson interferometer with phase modulation of the radiation.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):77-84
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Fourier Analysis of Interferograms Formed by Surface-Plasmons Generated by Terahertz Synchrotron Radiation
Zhizhin G.N., Kyrianov A.P., Golovtsov N.I., Khitrov O.V., Nikitin A.K.

Abstract

The problem of Fourier analysis of interferograms formed in terahertz (THz) synchrotron parallel beams, one of which is produced by surface plasmons (SPs) running along the surface of a conducting sample placed in one of the Mach-Zehnder interferometer arms, is considered in the paper. It is demonstrated that the analytical procedure employing the complete Fourier transform of the interferograms, got while scanning the movable mirror in the reference arm and registered at two distances run by the SPs, enables one to obtain the THz SPs complex refractive index spectrum and thus - the spectrum of the sample complex dielectric permittivity. Employment of a synchrotron source in SPs Fourier spectrometers raises the signal to noise ratio as compared to the blackbody emitter by a factor of 108 and facilitates the calibration procedure as synchrotron radiation intensity is in direct proportion to its frequency.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):85-95
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Maxwell's Equations in Arbitrary Coordinate System
Kulyabov D.S., Korolkova A.V., Korolkov V.I.

Abstract

The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant coordinate-free and the covariant coordinate forms. Also the relation between vectorial and tensorial formalisms and differential operators for arbitrary holonomic coordinate system in coordinate form is given. The results obtained by tensorial and vectorial formalisms are verified in cylindrical and spherical coordinate systems.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):96-106
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Electronic Device for Computer Data Acquisition from Multichannel Analyzer AI-1024
Kushnarenko I.V., Chuprov D.V.

Abstract

Electronic device for computer data acquisition from multichannel analyzer AI-1024 are described. Standard digital recorder interface of AI-1024 is used to connect to serial port of computer. Full communication time is about three seconds. Synchronization details are considered.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):107-109
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Features of Temperature Dependence of Effective Refractive Index of TE1 and TM1 Modes in Optical Sol-Gel Waveguides over a Wide Temperature Range
Nikolaev N.E., Pavlov S.V., Trofimov N.S., Chekhlova T.K.

Abstract

Temperature dependences of effective refractive index on the parameters of the sol-gel film are obtained. The differences of temperature characteristics of sol-gel waveguides for TE and TM modes are found and explained. Features of temperature dependence of effective refractive index at high temperatures are revealed and interpreted.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):110-116
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Analytical Information System Conceptual Object-Oriented Multidimensional Metamodel Implementation
Viskov A.V., Fomin M.B.

Abstract

Multidimensional approach to the creation of analytical information systems allows to organize information in a convenient form for analysis. Object-oriented approach provides essential advantages in domain modeling. In the article it is offered to use this principles while implementing a multi-dimensional metamodel.
Discrete and Continuous Models and Applied Computational Science. 2012;(1):117-121
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Our authors
- -.

Abstract

Discrete and Continuous Models and Applied Computational Science. 2012;(1):122-123
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