Most viewed papers

601. Moskalev P.V., Buhovetc A.G.
     The similarity dimension of the random iterated function system
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 681-691

     In this paper we consider the properties of the random iterated function systems (RIFS) obtained using a generalization of the Chaos game algorithm. Used for the RIFS simulation R is a free software environment for statistical computing and graphics. The similarity dimension by the polygonal protofractals Z = {z_j}, j = 1, 2, . . . , k nonmonotonically depends on the RIFS parameters d_S(μ|k) with an extreme value max d_S(μ|k)=−ln k/ln(1/(1+μ)).

     Keywords: similarity dimension, random iterated function system, Sierpinski polygon.
     Views (last year): 1. Citations: 2 (RSCI).
602. Dunyushkin D.Y.
     Test-signals forming method for correlation identification of nonlinear systems
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 721-733

     Тhe new test-signals forming method for correlation identification of a nonlinear system based on Lee–Shetzen cross-correlation approach is developed and tested. Numerical Gauss–Newton algorithm is applied to correct autocorrelation functions of test signals. The achieved test-signals have length less than 40 000 points and allow to measure the 2nd order Wiener kernels with a linear resolution up to 32 points, the 3rd order Wiener kernels with a linear resolution up to 12 points and the 4th order Wiener kernels with a linear resolution up to 8 points.

     Keywords: nonlinear dynamic systems, Volterra–Wiener approach, system identification, cross-correlation approach, Lee–Shetzen method, test-signals, white noise.
     Views (last year): 1. Citations: 3 (RSCI).
603. Sudakov I.A., Sukacheva T.G.
     Issues of Patankar's numerical scheme stability
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 827-835

     In this paper we consider the issues of Patankar's numerical scheme stability. The Patankar’s numerical scheme is applied in the most number of the applications. So, the issues of Patankar's numerical scheme stability are very important question for the applications.

     Keywords: numerical methods, Patankar, thermal conductivity equation, discrete analog.
     Views (last year): 1.
604. Kochetkov A.V., Chvanov A.V.
     Digital modeling geometrical and macrorough parameters of a highway
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 837-844

     Original representation of statistical digital model of measurement of a macroroughness on a local site (to 15) consisting of determined (bias), correlated (standard periodic making and periodic deviations from flatness) and actually casual making (values of a macroroughness) Is offered.

     Keywords: digital model, a highway, a macroroughness, a bias, flatness.
     Views (last year): 1. Citations: 1 (RSCI).
605. Gadzhiev R.I.
     Estimation of probabilistic model of employee labor process
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 969-975

     The mathematical estimation model for employee labor process, built on the basis of Bayesian network is presented in the article. The great attention is given to the estimation of qualitative characteristics of labor product. Usage of described model is supposed in the companies with the management employee workflows system.

     Keywords: estimation of labor, workflows modeling, Bayesian network, probabilistic modeling.
     Views (last year): 1.
606. Kuz'min I.M., Tonkov L.E., Kopysov S.P.
     Algorithms and Software for Solving Coupled Fluid-Structure Interaction Problems on Hybrid HPC Platform
     Computer Research and Modeling, 2013, v. 5, no. 2, pp. 153-164

     In this paper, we propose a new software for simulation of fluid-structure interaction. The software is designed for solving coupled problems and provides an interface for synchronization synchronisation and data exchange between existing fluid and structural solvers. Algorithms of coupling solvers and mesh deformation are discussed. The software can be used on hybrid CPU/GPU platforms.

     Keywords: fluid-structure interaction, parallel computing, hybrid HPC platforms, computational mesh deformation, radial basic function.
     Views (last year): 1. Citations: 11 (RSCI).
607. Grinevich A.A., Ryasik A.A., Yakushevich L.V.
     The dynamics of polynucleotide chain consisting of two different homogeneous sequences, divided by interface
     Computer Research and Modeling, 2013, v. 5, no. 2, pp. 241-253

     To research dynamics of inhomogeneous polynucleotide DNA chain the Y-model with no dissipation term was used. Basing on this model using numerical methods calculations were carried out, which have shown the behaviour of nonlinear conformational excitation (kink), spreading along the inhomogeneous polynucleotide chain, consisting of two different homogeneous nucleotide sequences. As numerical analysis shows there are three ways of behaviour of the nonlinear kink excitation spreading along the DNA chain. After reaching the interface between two homogeneous sequences consisting of different types of bases kink can a) reflect, b) pass the interface with acceleration (increase its velocity), c) pass the interface with deceleration (decrease its velocity).

     Keywords: solitons, DNA, Y-model, sine-Gordon equation, numerical methods.
     Views (last year): 1. Citations: 3 (RSCI).
608. Zakharov A.P., Bratsun D.A.
     Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism
     Computer Research and Modeling, 2013, v. 5, no. 2, pp. 255-270

     In the paper three characteristic scales of a biological system are proposed: microscopic (gene's size), mesoscopic (cell’s size) and macroscopic level (organism’s size). For each case the approach to modeling of circadian rhythms is discussed on the base of a time-delay model. At gene’s scale the stochastic description has been used. The robustness of rhythms mechanism to the fluctuations has been demonstrated. At the mesoscopic scale we propose the deterministic description within the spatially extended model. It was found the effect of collective synchronization of rhythms in cells. Macroscopic effects have been studied within the discrete model describing the collective behaviour of large amount of cells. The problem of cross-linking of results obtained at different scales is discussed. The comparison with experimental data is given.

     Keywords: circadian rhythms, synchronization, time-delay system.
     Views (last year): 1. Citations: 8 (RSCI).
609. Ekomasov E.G., Gumerov A.M.
     Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation
     Computer Research and Modeling, 2013, v. 5, no. 3, pp. 403-412

     We investigated numerically the dynamics of kinks of modified sine-Gordon equation in the model with localized spatial modulation of a periodic potential (or impurity). We considered the case of two identical impurities. We showed the possibility of collective effects of the influence of impurities, which are heavily dependent on the distance between them. We demonstrated the existence of a certain critical value of the distance between impurities, which has two qualitatively different scenarios of the dynamic behavior of kink.

     Keywords: kink, breather, sine-Gordon equation, quasitunneling.
     Views (last year): 1. Citations: 3 (RSCI).
610. Kuznetsov V.L., Rudkovskiy A.S.
     Invariant embedding method modification for calculation of “Woodpile” photonic crystal
     Computer Research and Modeling, 2013, v. 5, no. 3, pp. 413-422

     Modification of the invariant imbedding method to describe the interaction of 3D electromagnetic field with “woodpile” photonic crystal of finite thickness is considered in this paper. This modification allows solving a problem of evanescent modes resonant amplification during numerical calculations for the first layer of photonic crystal. The mathematical model created in this work gives good agreement with physical experiment results.

     Keywords: Invariant embedding method, Photonic crystal, Evanescent modes, Resonances.
     Views (last year): 1.

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