name
Trunev Aleksandr Petrovich
Scholastic degree
•
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Honorary rank
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Organization, job position
• A&E Trounev IT Consulting, Toronto, Canada
директор
Research interests
Математическое моделирование социальноэкономических и природных процессов
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Articles count: 125
Сформировать список работ, опубликованных в Научном журнале КубГАУ

01.00.00 Physicalmathematical sciences
DescriptionDependence of the Earth polar motion on celestial bodies’ positions is examined on the basis of semantic information models

ORBIT ABNORMAL MOVEMENT IN GENERAL RELATIVITY
01.00.00 Physicalmathematical sciences
DescriptionThe solution of the problem of the displacement of the perihelion of Mercury in Einstein's theory of gravitation, taking into account the mechanism of formation of matter from dark energy, has been obtained. It is shown that the observed value of the precession imposes a restriction on the equation of state of dark energy in the case of static fields

Description
Main scientific results, which were received in 2007 under creation and investigation of semantic information multi mode, providing as detection of dependence between astro signs and accessory of respondents to generalized social categories as a use of knowledge of these dependences for identification of respondents by these categories are casted in the article. Multi model includes 172 private models on 37 generalized categories and each of categories is presented less than 1000 respondents under general fetch capacity of 20007 respondents. It was applied the method of systemic cognitive analysis, which is considered as one of the universal variants of decision of thirteen problem of Gilbert in practice ( theoretically this problem has been done in the theorem of A.N. Kolmogorova, which is a generalization of theorem V.I. Arnold ( 1957) under it.

EINSTEIN, SCHROEDINGER, AND ATOM
01.00.00 Physicalmathematical sciences
DescriptionIn this paper, we consider gravitation theory in multidimensional space. The model of the metric satisfying the basic requirements of quantum theory is proposed. It is shown that gravitational waves are described by the Liouville equation and the Schrodinger equation as well. The solutions of the Einstein equations describing the stationary states of arbitrary quantum and classical systems with central symmetry have been obtained. Einstein’s atom model has been developed, and proved that atoms and atomic nuclei can be represented as standing gravitational waves

BINDING ENERGY BIFURCATION AND CHAOS IN ATOMIC NUCLEI
01.00.00 Physicalmathematical sciences
DescriptionThe model of chaotic behavior of nucleons in nuclei, based on the model of nuclear interactions and the FermiDirac statistics is discussed

VORTEX TURBULENT FLOWS IN ATMOSPHERES OF PLANETS AND ON THE SUN
01.00.00 Physicalmathematical sciences
DescriptionIn this work, we consider two types of vortex currentscyclones and anticyclones in the Northern and Southern Hemispheres. Numerical modeling of turbulent flows of these types uses the model of the planetary boundary layer developed by the author. The purpose of the study is to test hypotheses about the influence of the Coriolis force on the formation of cyclones and anticyclones in the northern and southern latitudes. The first hypothesis on the direction of circulation in cyclones was verified in the case of axisymmetric radially converging and vertically rising turbulent flows with a natural Coriolis parameter and viscosity. From the obtained data of numerical experiments, it follows that the current in the northern latitudes circulates in a counter clockwise direction, and in the south  in a clockwise direction, in full accordance with the observational data. Thus, we have shown that a cyclonic flow is formed in a turbulent radially converging flow under the influence of the Coriolis force. The second hypothesis on the formation of anticyclones was verified in the case of radially divergent and vertically descending turbulent flows. Because of numerical experiments, it was established that in this case, the current in the northern latitudes circulates clockwise, and in the south  in a counter clockwise direction, which corresponds to observations for anticyclones. To test the effect of the cyclone (anticyclone) center velocity on circulation, a nonstationary 3D model of turbulent flow was developed. Within the framework of this model, flows in cyclones and anticyclones moving at a constant speed, as well as in shear flow, are studied. Some types of loop protuberances on the Sun are explained by the presence of a vortex turbulent flow starting in the bowels of the Sun and encompassing the chromosphere

01.00.00 Physicalmathematical sciences
DescriptionIn this article we have investigated the solutions of Maxwell's equations, NavierStokes equations and the Schrödinger associated with the solutions of Einstein's equations for empty space. It is shown that in some cases the geometric instability leading to turbulence on the mechanism of alternating viscosity, which offered by N.N. Yanenko. The mechanism of generation of matter from dark energy due to the geometric turbulence in the Big Bang has been discussed

GEOMETRIC TURBULENCE IN GENERAL RELATIVITY
01.00.00 Physicalmathematical sciences
DescriptionThe article presents the simulation results of the metric of elementary particles, atoms, stars and galaxies in the general theory of relativity and YangMills theory. We have shown metrics and field equations describing the transition to turbulence. The problems of a unified field theory with the turbulent fluctuations of the metric are considered. A transition from the Einstein equations to the diffusion equation and the Schrödinger equation in quantum mechanics is shown. Ther are examples of metrics in which the field equations are reduced to a single equation, it changes type depending on the equation of state. These examples can be seen as a transition to the geometric turbulence. It is shown that the field equations in general relativity can be reduced to a hyperbolic, elliptic or parabolic type. The equation of parabolic type describing the perturbations of the gravitational field on the scale of stars, galaxies and clusters of galaxies, which is a generalization of the theory of gravitation NewtonPoisson in case of Riemannian geometry, taking into account the curvature of spacetime has been derived. It was found that the geometric turbulence leads to an exchange between regions of different scale. Under turbulent exchange material formed of two types of clusters, having positive and negative energy density that corresponds to the classical and quantum particle motion respectively. These results allow us to answer the question about the origin of the quantum theory

GEOMETRIC TURBULENCE AND QUANTUM THEORY
01.00.00 Physicalmathematical sciences
DescriptionThe parabolic equation describing the evolution of the gravitational field is derived from Einstein equation. The instability of metric leads to a geometric pattern of turbulence. Microscopic turbulent pulsations generate two kinds of matter with positive and negative energy density, respectively. It is shown that in the case of negative energy density parabolic equation leads to an equation of Schrödinger type

GEOMETRIC TURBULENCE AND STELLAR EVOLUTION
01.00.00 Physicalmathematical sciences
DescriptionIn this article we consider Einstein's theory of gravity in relation to the YangMills theory. It is shown that in Einstein's theory there exists a metric together with the YangMills theory, in which the field equations are reduced to the Liouville equation describing the evolution of stars. The mechanism of generation of stellar energy of dark energy in the processes of geometric turbulence is discussed