Vol 20, No 3 (2014)

Статьи

TASK ON LONGITUDINAL VIBRATIONS OF A ROD WITH DYNAMIC BOUNDARY CONDITIONS

Beylin A., Pulkina L.

Abstract

In this paper, one-dimensional longitudinal vibration of a solid rod fixed at the ends by means of local masses and springs is studied. As a mathematical model we use Rayleigh rod. The existence and uniqueness of a generalized solution are proved.
Vestnik of Samara University. Natural Science Series. 2014;20(3):9-19
pages 9-19 views

REDUCTION OF MATHEMATICAL MODEL OF ROBOT WITH ELASTIC JOINTS

Vidilina O., Voropaeva N.

Abstract

A model of n - joint manipulator with elastic joints with small dissipation is studied. Class of singularly perturbed differential systems that describe the dynamics of robot is singled out. For a given class of systems the existence and uniqueness of integral manifoldness of slow movement is established, its features are studied. It is proved that integral manifold may be constructed with any degree of accuracy as asymptotic decomposition inpowers of small parameter. System that is used to describe movement in manifolds may be used as a reduced model of initial system.
Vestnik of Samara University. Natural Science Series. 2014;20(3):20-33
pages 20-33 views

FIELD OF INVARIANTS OF BORELEAN GROUP OF ADJOINT REPRESENTATION OF GL(n,K)

Vyatkina K.

Abstract

The paper is devoted to invariant theory problems, in particular to the problem of finding generators of invariant fields in an explicit form. The set of generators is given for invariant field of unitriangular group concerning the ad-joint representation of GL(n, K) group. Moreover, the set of generators of Borel group for the field of invariants is constructed and their algebraic independence is proved.
Lie group;
adjoint representation;
field of invariant;
generators of the field of invariants;
Borel group;
Vestnik of Samara University. Natural Science Series. 2014;20(3):34-40
pages 34-40 views

EIGENVALUE PROBLEM FOR THE LAPLACE OPERATOR WITH DISPLACEMENT IN DERIVATIVES

Gerasimov A., Loginov B., Yuldashev N.

Abstract

The statement of the problem on the determination of eigen-and adjointfunctions for Laplace operator in s-dimensional unit ball with displacement in derivatives is given. For s =2 the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary s is the subject of future work.
Vestnik of Samara University. Natural Science Series. 2014;20(3):41-45
pages 41-45 views

PROBLEM WITH NONLOCAL INTEGRAL CONDITION FOR PSEUDOHYPERBOLIC EQUATION OF THE FOURTH-ORDER

Kirichenko S.

Abstract

In this article, we study a problem for a multimensional pseudohyperbolic equation of the fourth-order with an integral condition. Existence and uniqueness of a generalized solution is proved.
Vestnik of Samara University. Natural Science Series. 2014;20(3):46-55
pages 46-55 views

CODIMENSIONS GROWTH ESTIMATE OF THE VARIETIES OF DIALGEBRAS

Kolesnikov P., Skoraya T.

Abstract

The estimates connecting codimensions of varieties of non-associative algebras and corresponding varieties of dialgebras are obtained.
Vestnik of Samara University. Natural Science Series. 2014;20(3):56-66
pages 56-66 views

THE EXACTNESS OF THE GERSTEN COMPLEX FOR ADZUMAYA ALGEBRAS IN EQUICHARACTERISTIC CASE

Mingazov A.

Abstract

One of the well-known problems of algebraic K-theory is the Gersten conjecture. In this work we prove a variant of Gersten conjecture for Adzumaya algebras in equicharacteristic case. Geometrical case of this proposition was proved in the article by I. Panin and A. Suslin.
Vestnik of Samara University. Natural Science Series. 2014;20(3):67-75
pages 67-75 views

BASIS OF MULTILINEAR PART OF LEIBNIZ ALGEBRAS MANIFOLDS \overbrace{V_1}

Mishchenko S., Pestova Y.

Abstract

In the case of trivial characteristic of base field, Leibniz algebras manifolds defined by the identity x_1(x_2x_3)(x_4x_5)\equiv 0. has almost polynomial growth. In the work we continue research of this manifold, in particular, we construct bases of multilinear parts.
Vestnik of Samara University. Natural Science Series. 2014;20(3):76-82
pages 76-82 views

INVERSE PROBLEM WITH INTEGRAL OVERDETERMINATION CONDITION FOR A HYPERBOLIC EQUATION

Savenkova A.

Abstract

In the paper, we study an inverse problem for a hyperbolic equation with integral overdetermination condition. The existence of a generalized solution is proved.
Vestnik of Samara University. Natural Science Series. 2014;20(3):83-92
pages 83-92 views

STABILIZATION OF GENERALIZED SOLUTION OF THE THIRD BOUNDARY PROBLEM FOR A PARABOLIC EQUATION

Filatov O.

Abstract

With increasing time generalized solution of the problem with time-periodic parameters tends to time periodic function if some parameters satisfy the positivity or non-negativity. If parameters are not periodic in time, then the solution converges to the solution of the same problem with zero initial function.
Vestnik of Samara University. Natural Science Series. 2014;20(3):93-96
pages 93-96 views

DESCRIPTION OF DETERIORATION PROCESSES: DAMAGE PARAMETER OF Y.N. RABOTNOV: HISTORICAL REMARKS, FUNDAMENTAL RESULTS AND CONTEMPORARY STATE

Stepanova L., Igonin S.

Abstract

In the paper the detailed review of the present-day results related to problems of continuum damage mechanics is given. The survey shows the development of ideas of Y.N. Rabotnov who together with L.M. Kachanov introduced damage and continuity variables which characterize the damage state. In the paper the recent studies in the elasticity, plasticity and creep theories accounting for damage accumulation processes are discussed.
Vestnik of Samara University. Natural Science Series. 2014;20(3):97-114
pages 97-114 views

EMPIRICAL ANALYSIS OF APPROXIMATE ALGORITHMS FOR INTEGER PROGRAMMING, BASED UPON THE IDEA OF GREEDY CHOICE

Montlevich V., Ismailova A.

Abstract

The article contains the results of empirical studies of heuristic algorithms for integer programming based upon the idea of greedy choice. On the base of numerous computer experiments estimate of average level of inaccuracy of approximate solution are presented.
The article contains the results of empirical studies of heuristic algorithms for integer programming based upon the idea of greedy choice. On the base of numerous computer experiments estimate of average level of inaccuracy of approximate solution are presented.
Vestnik of Samara University. Natural Science Series. 2014;20(3):115-120
pages 115-120 views

ADVANCED SEMICONDUCTOR MATERIALS FOR THE DEVELOPMENT OF SUPER-HIGH FREQUENCIES AND NANOELECTRONICS

Komov A.

Abstract

The results of application of semi-conductor converters on the basis of silicon carbide as a sensitive super-high frequency signals recorder. It was also noted that this material is prospective in the development of such areas as medicine, aerospace equipment, high-speed communication lines. The necessity of silicon carbide is increasing for its application in nanoelectronics.
Vestnik of Samara University. Natural Science Series. 2014;20(3):121-127
pages 121-127 views

INFLUENCE OF THE SADDLE-SPLAY CONSTANT ON THE DIRECTOR FIELD DISTRIBUTION IN STRONG MAGNETIC FIELDS

Kudreyko A., Migranova R., Khafizov A.

Abstract

The role of anchoring effects in thin nematic films confined between two parallel plates was theoretically examined. The bulk and surface free energy densities weree xpanded up to O(e2) and the perturbated contributions were calculated. It is shown that the minimum of the free energy corresponds to the solution of the Euler-Lagrange equations and satisfies the Ericksen inequalities. The identified bifurcation points can estimate the influence of the saddle-splay constant k24 towards periodic perturbations of a director in the presence of strong magnetic field.

Vestnik of Samara University. Natural Science Series. 2014;20(3):128-135
pages 128-135 views

DETERMINATION OF MOLECULAR WEIGHT AND BOILING TEMPERATURE OF UNKNOWN COMPONENTS OF A MIXTURE BY MEANS OF CHROMATE-DISTRIBUTIVE METHOD

Arutyunov Y., Onuchak L., Vavrushko V., Mikhailov I.

Abstract

New technique, allowing to increase the accuracy of determination of molecularweight andboiling temperature of unknown components of analyzing mixture, in comparison with our work described in the journal ”Sorption and Chromatographic Processes” 2011, № 4. and based on information on sizes of indexes of retention of Van den Dool and Krats and indexes of the logarithm of constant of distribution in the system ”hexane - acetonitrile”is suggested.
Vestnik of Samara University. Natural Science Series. 2014;20(3):136-147
pages 136-147 views

THEORETICAL STUDY OF NUCLEOSIDE5´-PHOSPHORAZOLIDE-2´,3´-CYCLO(THIO)CARBONATE FORMATION POSSIBILITY IN REACTION OF NUCLEOTIDES AND N,N´-ACYLBISAZOLES BY QUANTUM-CHEMICAL METHODS

Lazareva I., Belousova Z., Zarubin Y., Purygin P.

Abstract

Nucleoside-5´-phosphates and N,N´-(thio)carbonylbisazoles interaction was studied for the evaluation of nucleoside-5´-phosphorazolide-2´,3´cyclo(thio)carbonate formation possibility by the semi-empirical method PM6 of SCIGRESS Modeling 3.0.0 software. Azole moiety involves imidazole fragment. It was shown that formation of nucleoside-5´-phosphorazolide2´,3´-cyclo(thio)carbonates is energetically less efficient than formation of nucleotide-5´-phosphorazolides.
Vestnik of Samara University. Natural Science Series. 2014;20(3):148-153
pages 148-153 views

STUDY OF CHEMISTRY OF FORMATION OF BARIUM AZIDE

Shekina S., Kukushkin I., Rekshinskiy V., Pyghov A., Purygin P.

Abstract

This article proposes a chemism of the barium azide formation through monoazidometilat barium. The results obtained allowed to eliminate possible stops of the process due to formation of gelatinous mass by varying duration of the process.
Vestnik of Samara University. Natural Science Series. 2014;20(3):154-157
pages 154-157 views

INFLUENCE OF TOBACCO SMOKING ON THE FUNCTIONAL STATE OF A BODY OF YOUNG MALE RESIDENTS OF MAGADAN REGION

Vdovenko S., Sukhanova I.

Abstract

In the investigation carried out with the participation of 87 smokers and 60 nonsmokers of young male residents of Russia’s northeast, the changes in morphofunctional parameters in dependence on their relevance to smoking were investigated. It was found out that no significant difference between the groups was observed in basic somatometric values as well as in the body cardiorespiratory or gasotransporting system. At the same time the revealed changes testify to the tendency towards higher tension in the work of body functional systems shown by the people who abuse smoking.
Vestnik of Samara University. Natural Science Series. 2014;20(3):158-169
pages 158-169 views

EFFECT OF MEMBRANE DEPOLARISATION OF SUPRACHIASMATIC NUCLEUS NEURONS ON SPIKE ACTIVITY IN VITRO

Inyushkin A., Tkacheva M., Petrova A., Ryazantseva T., Parfenova A.

Abstract

The properties of spike activity of neurons of the suprachiasmatic nucleus during their membrane depolarisation in vitro are investigated on rat hypothalamic slices. Depolarisation of membrane caused an increase in activity of cells and a decrease in entropy log interspike interval distribution were used as a measure of spikes irregularity generation. Possible mechanisms of the effects are discussed.
Vestnik of Samara University. Natural Science Series. 2014;20(3):170-177
pages 170-177 views

GENETIC POLYMORPHISM OF GENES ASSOCIATED WITH VIRULENCE IN MYCOBACTERIUM TUBERCULOSIS STRAINS FROM SAMARA REGION

Kontsevaya I., Makurina O., Nikolayevskyy V.

Abstract

The prevalence of polymorphisms in Mycobacterium tuberculosis genes associated with virulence as well as its associations with genetic groups, clusters of strains and drug susceptibility was investigated in the article. The associations between polymorphisms in plcA gene and some LAM family clusters, dosT and pks15/1 genes and Beijing family and lipR gene and the majority of Ghana, Cameroon, Uganda and S clusters were found. Detected interrelation between studiedpolymorphisms and drug susceptibility is of mediated character.
Vestnik of Samara University. Natural Science Series. 2014;20(3):178-186
pages 178-186 views

BREATHING PARAMETERS IN STUDENTS WITH DIFFERENT TYPES OF BIORHYTHMS

Pavlenko S., Vedyasova O.

Abstract

With the use of technique of spirography it was shown that background values of breathing pattern parameters in students depend on their biorhythmological features and time of day. Most prominent changes in breathing during the day were found in students with ”intermediate” type of circadian activity, and less prominent - in students with late” type of activity. Significant differences in values of respiratory frequency and in duration of respiratory phases between students with ”early” and ”intermediate” circadian activity were found, and also the differences in frequency and volume parameters of breathingbetween persons with ”intermediate” and ”late” activity in the morning and in the evening were registered. The differences in dynamics of respiratory parameters between persons with ”early” and ”late” types of activity were not significant.
Vestnik of Samara University. Natural Science Series. 2014;20(3):187-196
pages 187-196 views

CORRELATION OF METABOLIC ACTIVITY OF MICROORGANISMS AND MICROARTHROPODS IN THE PROCESS OF DESTRUCTION OF PLANT RESIDUES

Simonov Y.

Abstract

On the basis of instrumental studies the contribution of microorganisms and small arthropods to the metabolism of soil biota in the decomposition of plant residues was estimated numerically. The dependence of metabolism of biological degradation agents on their biomass was shown.
Vestnik of Samara University. Natural Science Series. 2014;20(3):197-201
pages 197-201 views

SPATIAL PICTURE OF DISTRIBUTION OF ELECTROENCEPHALOGRAM RHYTHMS IN THE RIGHT-HANDED STUDENTS DURING AN EXAM

Trushina D., Vedyasova O., Paramonova M.

Abstract

Registration of electroencephalogram (EEG) in the right-handed students during an exam revealed weakening of alpha rhythm in all areas of right and left cerebral hemispheres as well as increased beta rhythm in parietal and end-lobes of the right hemisphere. Simultaneously regular delta waves in the frontal leads ofboth hemispheres and theta waves in right frontal, occipitalis and temporal leads were marked. Offset of EEG slow wave activity in the right hemisphere in partial right-handers was marked in more noticeable way than in that of the true right-handers. The obtained data suggest that the distribution of EEG rhythms in condition of mental and emotional stress in right-handers depends on the type and severity of functional hemispheric asymmetry.
Vestnik of Samara University. Natural Science Series. 2014;20(3):202-212
pages 202-212 views

AREAS OF THE SAMARA REGION WITH A HIGH DEGREE OF PRESERVATION OF NATURAL LANDSCAPES, PROSPECTIVE FOR ORGANIZING OF SPECIALLY PROTECTED NATURAL AREAS ON THE BASIS OF THEIR FLORISTIC DESCRIPTIONS, AND REVEALING OF RARE INSECT SPECIES

Sharonova I., Kurochkin A.

Abstract

There have been allocated 6 territories in 4 districts of Samara Region on the basis of their floristic descriptions, and revealing of rare insect species, which are prospective for organizing of specially protected natural areas within proposed boundaries.
Vestnik of Samara University. Natural Science Series. 2014;20(3):213-230
pages 213-230 views

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