IKBFU's Vestnik

Physics, mathematics, and technology

Mathematical Modeling

An oscillatory excited molecular nitrogen in the ionospheric plasma

Abstract

The mathematical model for research of the non-stationary processes proceeding in ionosphere and plasmasphere of Earth is presented. This model allows to investigate dynamics of interaction charged and neutral components of ionospheric plasma, and also to reveal a contribution of various processes to formation of ionosphere. Results of computing experiment indicate strong dependence of electronic concentration on high-rise distribution of nitrogen. The accounting of oscillatory excitement of molecular nitrogen leads to noticeable variations of electronic concentration and temperature at ionosphere F2 layer heights and improves a consent of results of model calculations of variations of electronic concentration with experimental data. It is shown that the contribution of small component in aeronomiche processes is essential.

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Numerical simulation of wave processes in elastic-acoustic problems using discontinuous Galerkin method on triangle unstructured meshes

Abstract

Wave propagation through coupled elastic-acoustic media for marine seismology, comparison of reflected waves in fluid-filled and infinite thin crack model and underwater objects detection are simulated using discontinuous Galerkin method on triangle unstructured meshes.

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Numerical simulation of forming and evolution of solitons in chain of nucleotide couples

Abstract

The Cauchy’s problem of the induced charge movement along the discrete chain of nucleotide couples in DNA is solved in the frame of Holstein’s model taking account surrounding temperature fluctuations. For the initial conditions chosen specifically the evolution of a special class of solutions of this problem related to the type of soliton is investigated. The existence of solutions in the form of solitary waves in the framework of this model is possible only at very low temperatures the thermostat.

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Mathematical modeling of parameters price discrimination by the method of classification trees

Abstract

Paper discusses possibilities of parameters price discrimination modeling on base of the method of classification trees based on the algorithm of Gini feature selection, by analyzing market behavior of dominant firms under oligopoly on the Russian coal market. It is shown that analysis based on branching tree classification determine the characteristics of the "price corridor" that dominated firm use for different groups of consumers, even in conditions of slight variations.

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Simulating of ion and electron trajectories in thermal plasma in electric field of a satellite by the molecular dynamic method

Abstract

A three-dimensional model of the interaction of a charged micro satellite and thermal plasma was considered. The ion and electron trajectories for different initial velocities and directions are shown. The calculated particle trajectories have some deviations from the classical trajectories in crossed electric and magnetic fields. The examples of closed trajectories of electrons are discussed.

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Differential geometry

Normalization of basic structural subbundle of distribution in second order differential neighborhood

Abstract

Norden inner normalization fields of basic structural subbundle of hyperband distribution are constructed in second order differential neighborhood of affine space. It is showed that first order normal (L-virual affine normal, Blashke normal, Trenson normal) corresponding to each of subbundle belongs to the same sheaf in any center A. Sheafs of second order normal of Λ-, L-, H-subbundle correspond to them in the Bompiani–Pantazi bijection. Analytical coincidence features of H -distribution and its Λ-, L-, H-subbundle was clarified.

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About generalizations of the Cartan projective connection on smooth manifold

Abstract

The Laptev projective structure of the 1st order presented a fibering of special linear coframes with multidimensional gluing is considered. The Laptev linear connection by means of the object containing a tensor is set in this fibering. If the tensor vanishes we have preprojective connection from which canonical connection is marked out. The Cartan projective connection and its canonical version are obtained from a projectivity condition. On the other hand, the projective structure is presented in the form of the principal fiber bundle of the special center-linear coframes. The giving fundamental- group connection in this fibering is made by means of the center-linear connection object, not coinciding with the previous objects of connections.

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Curvature of 2nd type induced on plane distribution

Abstract

In many-dimensional projective space the plane distribution is considered. The curvature of group connection of 2-nd type, induced by composite clothing of plane distribution, is constructed. It is proved, that a immovability of Cartan’s plane and Bortolotti’s hyperplane in case of holonomic distribution attracts the vanishing of curvature tensor of 2-nd type.

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Artificial Intelligence

Integrated approach to solving routing problem

Abstract

An integrated approach to solving problems of the transport type associated with the construction of transport routes is presented. We offer to determine the optimal path, based on a new technology - evolutionary modeling by the using of methods inspired by natural systems. The critical issue is a reconciliation of the concepts of biology, information technology and artificial intelligence

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Physics and radiophysics

The research of surface features of the film CdS, fabricated by hydrochemical deposition on textured silicon substate

Abstract

Investigated by atomic force microscopy and Auger electron spectrometry the surface of films CdS, formed by hydrochemical deposition on textured silicon substrate. It is shown that the film CdS thus manufactured characterized inhomogeneous distribution of size structural elements and chemical composition over the surface. These films are appropriate for use in photovoltaic solar power converters on based heterostructures CdS/Si(p).

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An algorithm of reduction of electric power consumption of objects regional electrical engineering complex

Abstract

The article discusses an algorithm to reduce power consumption of objects of a regional electrical complex on the basis of the control action. A key feature of the howling of the algorithm is possible to reduce the consumption of electroporation individually to each object, given its individual and systemic properties.

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Model evaluation of the directed properties of rectangular loops

Abstract

Model evaluation of the directed properties of rectangular loops with different form coefficient is carried out on the basis of theoretical approach, developed by authors. Comparison of the received results with known experimental values of the studied parameters for Pistolkors’s loopback vibrator is carried out. Comparison showed that theoretical approach in the basis of model researches is adequate and can be used for any wire antenna system of self-contained type.

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Informatics and mathematical geophysics

Numerical solving the problem of detecting of ultraweak diffractors in a complex acoustical medium

Abstract

Some results of numerical simulating of the problem of detecting of ultraweak diffractors in a complex acoustical medium are represented. The term “ultraweak” here means that the diffractors are not determined by standard depth migration. To solve the problem of detecting we use two procedures: Reverse Time Datuming (RTD) and Common Scattering Point (CSP). The first procedure (RTD) extends (synthetic) wave field from the day surface down to some level that is sufficiently close to diffractors. Then the diffractors are determined by CSP-method. The numerical model of an acoustical medium and synthetic data were obtained in Shell company. Further processing has been performed in RIAIMG of Immanuel Kant Baltic Federal University.

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To the question of control of accuracy in solving the inverse problem microseismic

Abstract

Discusses the issues of control accuracy for solving the inverse kinematics problem of microseismic. This problem is to determine coordinates of acoustic emission sources. Investigate questions of constructing optimal algorithms and the influence of noise in the data on the stability of the obtained solution. Demonstrate the effectiveness of this approach in comparison with generic algorithms without estimation of optimal parameters of the solution.

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Segmentation of multi-temporal radar images of earth covers

Abstract

Possibilities of application segmentation algorithms and classification of satellite radar images without deleting a speckle noise for separation of connected areas are considered. The segmentation algorithm Merge Using Moments is optimum for separation of specific composition of forest on multitemporal radar data for some vegetative periods in development of the deciduous, coniferous and mixed forest. For exact separation of water objects use of radar data of one year suffices.

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Use of results of interpretation of scattered waves on the CSP method at the assessment of resources of the field of hydrocarbons with fracture collectors

Abstract

Results of an assessment of resources of a field with fracture and cavernous type of a collector are given. The technique of complex interpretation of seismic data on the CSP method is described, allowing to receive such important parameters, as the area of distribution of a fracture collector and its thickness. Importance of exact definition of a form and the size of deposits in carbonates and granites for a correct assessment of potential of a field is proved.

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Development of geoportal of the center of space services on basis of open systems

Abstract

Information-software solutions applied to creation of geoportal of the Center of space services of the Kaliningrad region are presented. The software with open codes (GeoNetwork — for creation and work with metadata, Geo-Server — for publication of geodata, PostGreSQL — for storage of geodata) and open formats (WMS, WFS, KML) for the publication of geodata was used. Structures of NoSQL tables for storage and management of full text and spatial indexes, and also structure of query to tables are described.

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Other papers

Generating function and its application for generalization of Legendre polynomials

Abstract

In the present paper the generalization of Legendre polynomials with the help of generating function is studied. The explicit form of considered functions is found. Some special cases are considered. Particular attention is paid to the case when the parameters defining the studied functions are different, symmetric about zero real numbers. Some properties of constructed functions are obtained. Based on the results of numerical experiment a hypothesis about zeroes of these functions is stated.

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About pairing on abelian varieties p-rank one and their cryptographic applications

Abstract

Described and analyzed in terms of computational efficiency different types of pairings on hyperelliptic curves, especially on curves of genus 2 and p-rank one for the cryptographic applications.

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Algorithms for detecting high-gradient areas of the great oceans has increased biological productivity

Abstract

The question of the application of remote sensing data to choose areas of the great oceans with increased biological productivity is considered. Submitted algorithm allows sharing this areas in accordance with the data of fisheries statistics. The method of minimum curvature in tension for the solution of problems of gridding data to required grid is considered.

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