№ 121(7), September, 2016
Public date: 30.09.2016
Archive of journal: Articles count 138, 339 kb

01.00.00 Physicalmathematical sciences
01.00.00 Physicalmathematical sciences
DescriptionIn the USSR higher attestation Commission from 1975 to the collapse of the USSR was subordinated not to the Ministry of education and science, but to the Council of Ministers of the USSR directly. However, since then there is a steady trend of gradual reduction of the status of the Commission. Today it is not just included in the Ministry of education, it is just one of the units of one of its structures: the Rosobrnadzor. Reduced status of the HAC inevitably leads to a decline in the status and in the adequacy of scientific degrees assigned as well as scientific ranks. This process of devaluation of traditional academic degrees and titles assigned to the HAC, has reached the point when a few years ago there were abolished salary increments for them. Now, instead of that, every university and research institutes have developed their local, i.e. noncomparable with each other scientometric methods of evaluation of the results of scientific and teaching activities. Despite the diversity of these techniques, there is a common thing among all of them, which is the disproportionate role of the hindex. The value of the Hirsch index starts to play an important role in the protection, when considering competitive cases for positions, as well as in determining the monthly rewards for the results of scientific and teaching activities. By itself, this index is well founded, theoretically. However, in connection with the practice of its application in our conditions, in the collective consciousness of the scientific community there was a kind of mania, which the authors call the "Hirschmania". This mania is characterized by elevated unhealthy interest to the value of the Hirsch index, as well as incorrect manipulation of its value, i.e. inadequate artificial exaggeration of this value, as well as a number of negative consequences of that interest. In this study we have made an attempt to construct a quantitative measure for assessing the extent of improper manipulation of the value of the Hirsch index, and offered a sciencebased modification of the hindex, insensitive (resistant) to the manipulation. The article presents a technique for all the numerical calculations, which is simple enough for any author to use

RUSSIAN SCIENTIFIC SCHOOL IN THE ECONOMETRICS FIELD
01.00.00 Physicalmathematical sciences
DescriptionWe have considered the formation of the Russian scientific school in the field of econometrics, obtained its obtained scientific results, the possibilities of their use in solving problems of the economy, the organization of production and controlling of industrial companies and organizations, as well as in teaching. As econometrics we consider a scientific and an academic discipline devoted to the development and application of statistical methods to study economic phenomena and processes, in short, statistical methods in economics. Therefore, we can say that a lot of domestic books and articles, in particular, the works by the author of this publication from the beginning of the 70s, are the parts of econometrics. However, in this article we consider only the works, in the titles of which we can see the word of "econometrics". In our country the term "econometrics" has become popular since the mid 90s. However, many publications and training courses are still developed in the western outdated paradigm. They do not conform to the new paradigm of mathematical methods of economics, the new paradigm of applied statistics and mathematical statistics, mathematical methods of research. Russian science school in the field of econometrics operates within the scientific school in the field of probability theory and mathematical statistics based by A.N. Kolmogorov. Russian science school is developed in accordance with the new paradigm of mathematical methods. It is necessary to examine the main results of Russian scientific schools in the field of econometrics. We present the information on the institutional design of national scientific schools in econometrics, in particular, on the activities of the Institute of High Technologies statistics and econometrics

CLARIFICATION OF A MODEL OF A BALANCING ROBOT BY LOGICAL AND EMPIRICAL METHODS
01.00.00 Physicalmathematical sciences
DescriptionThis work studies the mathematical model of the object “inverted pendulum” on the example of the unstable electromechanical devices which is balancing robot on wheel couple. Unfortunately, many details of object model are unknown. Logical and empirical method offers hypotheses about the difference between the actual object model from its mathematical approximation based on logical analysis with subsequent refinement of this model and testing of the hypothesis with modeling of the systems with the updated model. As a result, the amendments to the model have been found containing nonlinear components. With the help of these amendments, the dynamic characteristics of the actuator, filters, friction and the tendency of the object to fluctuations are better taken into account

TO THE RESEARCH METHODS OF FAULTS UNDER THE VIBRATION IMPACTS
01.00.00 Physicalmathematical sciences
DescriptionWe propose an approach to the modeling of stressstrain state of lithospheric structures near faults by modeling them as Kirchhoff plates on threedimensional elastic foundation. We describe an efficient method of solving problems for plates with rectilinear fractures, based on the transformation of the differential operator, which allows us to analyze the solutions obtained for different contact conditions in the area of the fracture. The method is presented on the example of the vibration problem of two elongated plates on the surface of the elastic layer under the effect of concentrated surface load. The results of numerical implementation of the developed algorithm make it possible to identify the influence of the substrate properties, characteristics of the plates and the nature of their border interactions on the picture of wave process in the test structure. At the same time obtained configurations of the harmonic signal passage through the fracture can serve as an indicator of its type. The proposed approach should be used to determine the presence and type of fractures based on measurements of signals from vibration sources in cases when geophysical environment can be modeled by the previously described structure. The problems of studying objects we reviewed in this paper also occur in various areas of technology, and, therefore we can apply the proposed method for their solution

SIMULATION MODELING OF DISTRIBUTION OF EPIDEMICS ON THE BASIS OF AGENT APPROACH
01.00.00 Physicalmathematical sciences
DescriptionToday, infectious diseases remain a leading cause of premature deaths in the world. Agentbased modeling can play an important role in predicting the spread of disease and to assess the containment measures. The aim is to construct a multiagent simulation model for the formation of epidemic measures to reduce effectively their incidence. Using the multiagent simulation approach to modeling of epidemics due to the fact that the approach allows us to consider a number of factors influencing the epidemic process, makes it possible to carry out numerical experiments. The processes of the spatial distribution and temporal variation of these two groups of epidemics of infectious the author calls dynamics. Usually hardimplemented spatial components of the dynamics in the proposed model can be substituted by predfractal topology of the graph, which is built up by voluminous graphs  primers, and the dynamics of compounding prefractal graph, called its recognition, is responsible for the timing of the process component. Under the term of agent, we consider an elementary study participant. An agent is active; it is in a state that may change under the influence of factors. The properties of the agent are attributed characteristics that form the level of immunity: height, weight, gender, income, marital status, education, geography

CENTERS PLACEMENT ON MANYWEIGHTED PREFRACTAL GRAPHS
01.00.00 Physicalmathematical sciences
DescriptionMulticriterial formulation for centers placement problem on manyweighted prefractal graph is proposed. Estimation of the radial criterion of prefractal graph generated by seedstar is shown. Polynomial algorithm centers placement on prefractal graph with preserving contiguity old edges is suggested. Estimation of computational complexity of the algorithm and the example of the work algorithm are considered

PARTICLE COLLISIONS IN THE RICCI FLOW
01.00.00 Physicalmathematical sciences
DescriptionIn this work, we investigate the problem of collisions of particles linked to the singularities of the gravitational field in the Ricci flow. A system of nonlinear parabolic equations describing the evolution of the axially symmetric metrics proposed. We consider the metric having axial symmetry and comprising two singularities simulating particles of finite mass. There was numerically investigated the change of the metric in the collision of particles. Two formulations of the problem have been considered, one of which scatter particles after the collision, and the other as a result of the merger of two particles, a new stable static system, which can be interpreted as a new particle. The initial and boundary conditions using the exact solution of the static problem, so the collision persist particularly metrics caused by the presence of particles. In numerical experiments determined that the collision of the particles in the Ricci flow leads to the formation of gravitational waves, similar in structure to the waves, registered in the LIGO experiment. Consequently, we can assume that the observed gravity waves caused mainly by transients associated with the change in the metric system. A model describing the emission of gravitational waves in the collision of particles in the Ricci flow proposed. The influence of the parameters of the problem  the speed and mass of the particles, on the amplitude and intensity of the emission of gravitational waves was numerically simulated

GRAVITATIONAL WAVES IN THE RICCI FLOW FROM SINGULARITIES MERGER
01.00.00 Physicalmathematical sciences
DescriptionIn this study, we investigate the problem of the emission of gravitational waves produced in collisions of particles submitted to the singularities of the gravitational field. A system of nonlinear parabolic equations describing the evolution of the axially symmetric metrics in the Ricci flow derived. A model describing the emission of gravitational waves in the collision and merger of the particles in the Ricci flow proposed. It is shown that the theory of the Ricci flow describes the problem of black holes merge, consistent with EinsteinInfeld theory, which describes the dynamics of the material particles provided by the singularities of the gravitational field. As an example, we consider the metric having axial symmetry and comprising two singularities simulating particles of finite mass. We have numerically investigated the change of the metric in the collision and merger of the particles. The initial and boundary conditions using the exact solution of the static problem, so the collision persist particularly metrics caused by the presence of particles. In numerical experiments determined that the collision of the particles in the Ricci flow leads to the formation of gravitational waves, similar in structure to the waves, registered in the LIGO experiment. Consequently, we can assume that the observed gravity waves caused mainly by transients associated with the change in the metric of a system. The influence of the parameters of the problem  the speed and mass of the particles, on the amplitude and intensity of the emission of gravitational waves was numerically simulated. We have found chaotic behavior of gravitational potentials at the merger of the singularities in the Ricci flow

01.00.00 Physicalmathematical sciences
DescriptionThe influence of dissociation / recombination of water molecules is important for understanding electroconvection processes, as some authors believe that the emergence of new carriers + H and − OH , and can lead to a reduction in the spacecharge and, consequently, to electroconvection disappearance. However, as shown in [5], the dissociation of water molecules, although it reduces the space charge and increases the threshold fall potential jump at which begins electroconvection, yet it persists and effectively mixes the solution. This article is devoted to mathematical modeling of electrodiffusion of four types of ions at the same time (two salt ions as well as + H and − OH ions) in the diffusion layer in electromembrane systems with perfectly selective membrane under the joint influence of violation of electrical neutrality, and the reaction of dissociation / recombination of water molecules, development of mathematical models of these processes, building efficient algorithms asymptotic and numerical analysis for different types of electrolytes. The work proposes a new mathematical model of the process of transfer of salt ions in view of the space charge and the dissociation / recombination of water in the form of a boundary value problem for a system of ordinary differential equations. This system is reduced to a form convenient for numerical solution. We have calculated the required additional boundary conditions for the electric field. Numerical and asymptotic solution of the boundary value problem and physicochemical analysis of the influence of dissociation / recombination on the transfer of salt ions is expected to devote the next part of the work

AUTOMATION OF SYSTEM PROBLEMS SOLVING BY STRUCTURED SYSTEMS SYSTEMOLOGY
01.00.00 Physicalmathematical sciences
DescriptionThe article reviews a method of systems structuring systemology for systems problem solving. The author’s modified algorithm of systems structuring of G.J. Klir’s is presented. It shows software module realizing the modified algorithm of systems structuring