Most viewed papers

451. Mokin A.Y.
     Correctness of task family with nonclassical boundary conditions
     Computer Research and Modeling, 2009, v. 1, no. 2, pp. 139-146

     A boundary value problem for partial differential equation with nonlocal boundary relations of special type is resolved by means of a slight modification of the separation of variables method. Ordinal differential operator of the second order subject to boundary conditions of the main problem is not self-adjoint. The system of eigenfunctions generated by the operator has no basis property in L₂[0,1] space. A special system of functions is proposed to expand the solution of the boundary value problem.

     Keywords: nonclassical boundary conditions, parabolic type problem, separation of variables method.
     Views (last year): 2.
452. Yakovenko G.N.
     Control systems in Brunovsky form: symmetries, controllability
     Computer Research and Modeling, 2009, v. 1, no. 2, pp. 147-159

     Many nonlinear control systems by nonsingular transformation variable {condition-control} happen to canonical Brunovsky form. The different questions dare in canonical form to theories of control, then inverse change variable is realized return to source variable. In work on base this ideology are studied transformations to symmetries space {time-condition-control}.

     Keywords: theory of control, Brunovsky form, symmetry transformation.
     Views (last year): 2.
453. Pogrebnaya A.F.
     Synthesis of ATP by F₁-ATPase in stochastic model
     Computer Research and Modeling, 2009, v. 1, no. 2, pp. 217-223

     The paper continues our series of papers [1-4] devoted to the development of mathematical model on rotation of F₁-AТPase molecular motor. Here it has been considered the synthesis of ATP induced by external force applied to the rotor.

     Keywords: ATP, ATPase, external force.
     Views (last year): 2. Citations: 1 (RSCI).
454. Rybakov A.A., Belega E.D., Trubnikov D.N., Chulichkov A.I.
     Transition from regular to chaotic dynamics for weakly bound rotating clusters
     Computer Research and Modeling, 2009, v. 1, no. 1, pp. 13-20

     The measure of regular and chaotic component in dynamics of van-der-Waals clusters has been obtained by Monte Carlo method at different values of the total energy and the angular momentum. The nonmonotonic dependence of the volume of chaotic component on the angular momentum has been determined. The reason of transition to the chaotic regime has been revealed.

     Keywords: chaotic dynamics, Monte Carlo method, van der Waals clusters.
     Views (last year): 2.
455. Krasnobaeva L.A., Shapovalov A.V.
     Kink motion by ac external force and dissipation
     Computer Research and Modeling, 2009, v. 1, no. 3, pp. 263-271

     We consider SG-kink motion under the ac external force and dissipation assuming that kink shape conserves, and the kink velocity is changing in time. External forces are harmonically dependent upon time and are considered as step functions.

     Keywords: kink, sinus-Gordon equation, an external force.
     Views (last year): 2. Citations: 3 (RSCI).
456. Kompaniets L.A., Pitalskaya O.S.
     Exact solutions of Ekman’s model for three-dimensional wind-induced flow of homogeneous fluid with geostrophic current
     Computer Research and Modeling, 2009, v. 1, no. 1, pp. 57-66

     The first solution for wind-induced flow of homogeneous fluid was found in 1905 by Ekman and it involved the sum of two components: the drift current determined by wind stress and the geostrophic current determined by slope of the free surface. Drift current is defined by the specific formula and can be easily analyzed. In order to find the geostrophic current it is necessary to solve an elliptic type equation in the area bounded by coastline and it is a more difficult problem. In this paper examples of areas and wind stresses are given for the case when the equations for finding the geostrophic current are solved analytically.

     Keywords: wind-induced flow, Ekman's model.
     Views (last year): 2.
457. Lakhno V.D., Fialko N.S.
     Mechanism of soliton stopping in a molecular chain without dispersion
     Computer Research and Modeling, 2009, v. 1, no. 1, pp. 93-99

     It is shown by computer simulation that moving soliton-like solution exists in a molecular chain without dispersion. The speed of the solitary wave decreases with time. This decrease can be explained physically due to excitation of sites by moving wave. Maximum wave track length is estimated.

     Keywords: soliton, oscillations, wave propagation.
     Views (last year): 2. Citations: 1 (RSCI).
458. Anashkina A.A., Esipova N.G., Kuznetsov E.N., Tumanyan V.G.
     Contact specificity in protein-DNA complexes
     Computer Research and Modeling, 2009, v. 1, no. 3, pp. 281-286

     In this work we investigated contacts between proteins and nucleic acids by Voronoi-Delaunay tessellation. About one third of all contacts are contacts between nucleotides and positively charged residues Arg and Lys, 32,3 %. Ser and Thr together take part in 15 % of contacts. Asn forms 6 % of contacts, as well as Gly. Contribution of each other residue type does not exceed 5 %. Statistically significant are contacts Asp-G, Trp-C, Glu-C, Asp-C and His-T. General mechanism of charged residues participation in specific protein-DNA interac-tions is suggested.

     Keywords: Voronoi–Delaunay tessellation, protein-DNA complexes.
     Views (last year): 2.
459. Kompaniets L.A., Gavrilova L.V., Yakubailik T.V.
     On a model of wind-induced flow of two layered viscous fluid
     Computer Research and Modeling, 2009, v. 1, no. 4, pp. 381-390

     Exact solution of the stationary problem of wind-induced flow of two-layered viscous fluid is found for two-dimensional in vertical plane current and for drift current in three-dimensional case. The condition of sliding is set on the bottom of a water body. The condition of nonpassage is set on the lateral surface. Results of some calculations are given in comparison with those obtained using Ekman’s model (which does not take into account horizontal viscosity of the layer).

     Keywords: viscous fluid, wind-induced flow, Ekman's model.
     Views (last year): 2.
460. Chubatov A.A., Karmazin V.N.
     The stable estimation of intensity of atmospheric pollution source on the base of sequential function specification method
     Computer Research and Modeling, 2009, v. 1, no. 4, pp. 391-403

     The approach given in this work helps to organize the operative control over action intensity of pollution emissions in atmosphere. The approach allows to sequential estimate of unknown intensity of atmospheric pollution source on the base of concentration measurements of impurity in several stationary control points is offered in the work. The inverse problem was solved by means of the step-by-step regularization and the sequential function specification method. The solution is presented in the form of the digital filter in terms of Hamming. The fitting algorithm of regularization parameter r for function specification method is described.

     Keywords: atmospheric pollution, digital filter.
     Views (last year): 2.

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