Most viewed papers

301. Scherbakov A.V.
     Economy of Chernavskii
     Computer Research and Modeling, 2017, v. 9, no. 3, pp. 397-417

     The present article sets out the scientific approach of Dmitry Sergeevich Chernavskii to the modelling of economic processes. It recounts the history of works of Dmitry Sergeyevich on the economic front, its milestones and achievements. One of the most important advances in the economic analysis was the prediction by a team of scientists headed by D. S. Chernavskii, the major crises that have occurred in our country over the last 20 years, namely, the default of 1998, the crisis of industrial production in the second half of the 2000s, the 2008 crisis and the ensuing recession. As an example, the dynamic analysis of the global macroeconomic processes shows the model of functioning of the dollar as the world currency. On this particular example shows the possibility of seigniorage due to the issue of the dollar and the calculated “window of opportunity” that allows you to issue dollars as the global currency, without prejudice to its own economy.

     A model for the development of a closed society (without external economic relations) in the one-product approach is considered as an example of dynamic analysis of the economy of a separate state. The model is based on the principles of market economy, i.e. the dynamics of prices is determined by the balance of supply and demand. It is shown that in the general case, the state of market equilibrium is not unique. Several steady states with different levels of production and consumption are possible. Effect of addressed emission of money in underproductive state is considered. It is shown that, depending on its size it can lead to the transition to a highly productive condition, and just cause inflation without transition. The relationship of these results with the “Keynesian” and “monetarist” approaches is discussed.

     Keywords: the economy, crises, dynamic analysis, dollar, seigniorage, mathematical model, emission, inflation, the digital economy.
     Views (last year): 5. Citations: 2 (RSCI).
302. Yakushevich L.V., Savin A.V., Manevitch L.I.
     Nonlinear waves in the DNA molecules containing a boundary between two homogeneous regions
     Computer Research and Modeling, 2009, v. 1, no. 2, pp. 209-215

     Propagation of nonlinear conformational waves through the boundary dividing the double polynucleotide chain into two different homogeneous regions is investigated. Calculations are made in the frameworks of the DNA model which takes into account the difference in mass of nitrous bases and the difference in distances between sugar-phosphate chain and the centers of mass of bases which are connected with the chain by β-glycoside bond С₁-N. We consider different possible combinations of homogeneous regions placed on the right and on the left from the boundary, and we calculate the changes of the nonlinear wave velocity (v) and size (d) of the nonlinear waves due to overcoming the boundary.

     Keywords: DNA, wave propagation, polynucleotide chain.
     Views (last year): 4. Citations: 1 (RSCI).
303. Zhidkov E.P., Voloshina I.G., Polyakova R.V., Perepelkin E.E., Rossiyskaya N.S., Shavrina T.V., Yudin I.P.
     Computer modeling of magnet systems for physical setups
     Computer Research and Modeling, 2009, v. 1, no. 2, pp. 189-198

     This work gives results of numerical simulation of a superconducting magnetic focusing system. While modeling this system, special care was taken to achieve approximation accuracy over the condition u(∞)=0 by using Richardson method. The work presents the results of comparison of the magnetic field calculated distribution with measurements of the field performed on a modified magnet SP-40 of “MARUSYA” physical installation. This work also presents some results of numeric analysis of magnetic systems of “MARUSYA” physical installation with the purpose to study an opportunity of designing magnetic systems with predetermined characteristics of the magnetic field.

     Keywords: magnet systems, focusing system, Richardson method.
     Views (last year): 4. Citations: 2 (RSCI).
304. Abaturova A.M., Kovalenko I.B., Riznichenko G.Yu., Rubin A.B.
     Investigation of complex formation of flavodoxin and photosystem 1 by means of direct multiparticle computer simulation
     Computer Research and Modeling, 2009, v. 1, no. 1, pp. 85-91

     Kinetics of complex formation between components of the photosynthetic electron transport chain — flavodoxin and membrane complex photosystem I has been studied using computer model based on methods of multiparticle simulation and Brownian dynamics. We simulated Brownian motion of several hundreds of flavodoxin molecules, taking into account electrostatic interactions and complex shape of the molecules. Our model could describe experimental nonmonotonic dependence of the association rate constant for flavodoxin and photosystem I. This lets us conclude that electrostatic interactions are sufficient to form such kind of nonmonotonic dependence.

     Keywords: flavodoxin, photosystem I, Brownian dynamics.
     Views (last year): 4. Citations: 2 (RSCI).
305. Terekhin A.T., Budilova E.V., Karpenko M.P., Kachalova L.M., Chmyhova E.V.
     Lyapunov function as a tool for the study of cognitive and regulatory processes in organism
     Computer Research and Modeling, 2009, v. 1, no. 4, pp. 449-456

     Cognitive and regulatory processes in organism are ensured by the functioning of several different network systems — neural, endocrine, immune, and gene ones. These systems are, however, closely related and form a single integrated neurogenohumoral cognitive-regulatory dynamic system of organism. A review of publications is given which shows that it is possible to associate with this dynamic system a corresponding Lyapunov function (energy function, potential function) and that analyzing this function allows, due to its geometrical insight, to easily discover a set of general properties of cognitive and regulatory functioning of organism.

     Keywords: Lyapunov function, cognitive functioning, regulatory mechanisms.
     Views (last year): 4. Citations: 5 (RSCI).
306. Yakovenko G.N.
     Wandering symmetries of the Lagrange's equations
     Computer Research and Modeling, 2010, v. 2, no. 1, pp. 13-17

     The dynamic process can be in equal degree adequately prototyped by a family of Lagrange's systems. Symmetry group ‘wanders’ on this family: systems are transformed from one into another. In this work we show that under determined condition the first integral can be obtained by a simple calculations on some of such groups. The main purpose of the work is to show usefulness of wandering symmetry concept. The considered example: flat motion of a charged particle in magnetic field in presence of viscous friction. With the help of three wandering symmetry first integral is calculated.

     Keywords: the Lagrange's equations, variational symmetries, divergental symmetries, conformal symmetries, wandering symmetries, the first integrals.
     Views (last year): 4.
307. Sobolev E.V., Tikhonov D.A.
     Numerical analyses of singularity in the integral equation of theory of liquids in the RISM approximation
     Computer Research and Modeling, 2010, v. 2, no. 1, pp. 51-62

     An approach to evaluation of a parametric portrait of integral equations of the theory of liquids in the RISM approximation was proposed. To obtain all associated solutions the continuation method was used. The equations reduced to a two-centered molecule model for symmetry reasons were deduced for molecular liquids. For molecular liquids, some equations were obtained which could be reduced, for symmetry reasons, to a two-center molecular model. To avoid critical points we changed the dependence of RISM-equations on reverse compressibility. The suggested method was used to perform numerical computations of methane reverse compressibility isotherms with three closures. No bifurcation of solutions was observed in the case of the partially linearized hypernetted chain closure. For other closures bifurcations of solutions were obtained and the model behavior nontypical for simple liquids was observed. In the case of Percus-Yevick closure nonphysical solutions were obtained at low temperature and density. Additional solution branch with a kink in the bifurcation point was obtained in the case of hypernetted chain closure at temperature above the critical point.

     Keywords: RISM, theory of liquids, singularity, continuation method.
     Views (last year): 4.
308. Kisselev S.S., Komarov V.M., Masulis I.S., Ozoline O.N.
     Distribution of mononucleotide repeats in bacterial chromosomes: A/T-tracts dominate on G/C-tracts
     Computer Research and Modeling, 2010, v. 2, no. 2, pp. 183-187

     This study analyzes the abundance of mononucleotide tracts of different length in 342 eubacterial and 69 archaeal chromosomes. Despite the fact that the amount of analyzed repeats depends on nucleotide content, the predominance of poly(dA)_n- and poly(dT)_n-tracts on poly(dG)_n- and poly(dC)_n-tracts was found in 301 chromosomes (73 % of events), including 90 GC-rich chromosomes. In natural DNAs amount of A/T-tracts usually appeared to be two-fold higher than in randomized nucleotide sequences with the same AT/GC-content and length. Possible reasons of this asymmetry in distribution are discussed.

     Keywords: mononucleotide repeats, A/T-tracts, G/C-tracts.
     Views (last year): 4.
309. Samarin K.V.
     Mathematical modeling of neutron transfers in nuclear reactions considering spin-orbit interaction
     Computer Research and Modeling, 2010, v. 2, no. 4, pp. 393-401

     The difference scheme for numerical solution of a time-dependant system of two Schrödinger equations with the operator of a spin-orbit interaction for a two-component spinor wave function is offered on the basis of a split method for a time-dependant Schrödinger equations. The computer simulation of the external neutrons’ wave functions evolution with different values of the full moment projection upon internuclear axis and probabilities of their transfer are executed for head-on collisions of ¹⁸O and ⁵⁸Ni nuclei.

     Keywords: heavy nuclei collisions, computing methods of Schrödinger equation solving.
     Views (last year): 4.
310. Chujko S.M., Starkova O.V., Chujko A.S.
     Autonomous Noetherian boundaryvalue problem in special critical case
     Computer Research and Modeling, 2011, v. 3, no. 4, pp. 337-351

     The necessary and sufficient terms of solution existence of nonlinear autonomous Noetherian boundary-value problem are found in special critical case. The characteristic feature of the set problems is impossibility of direct application of traditional research schematic representation and construction of solutions of critical boundary-value problems, which was created in works of I.G. Malkin, A.M. Samoilenko, E.A. Grebenikov, Yu.A. Ryabov and A.A. Boichuk. For the solution construction of Noetherian boundary-value problem in special critical case an iterative procedure is recommended, it is constructed according to the scheme of least-squares method. Efficiency of the offered technique is shown on the example of analysis for periodic problems for Hill equation.

     Keywords: autonomous boundaryvalue problem, special critical case, leastsquares method, iterative procedure.
     Views (last year): 4. Citations: 1 (RSCI).

• About Journal
• Open Access Policy
• Publishing Ethics
• Editorial board
• Author index
• For authors
• For Reviewers
• Contacts
• Most viewed papers
• Most cited papers
• Submit publication ONLINE