Physics, mathematics, and technology

It is shown that the equations of Gurvitz and Mozyrsky for a system consisting of a qubit interacting with a fluctuating environment in certain conditions are reduced to evolution equations of the qubit. Such evolution equations for the qubit can be generalized to the form, which implies the existence of entangled states of the combined system. Among these entangled states two are symmetric, and two — antisymmetric. One symmetric state is stationary.

We study the Darboux and Laplace transformations for the Boiti — Leon — Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blow-up” solutions are constructed.

Traditionally, in experimental studies of the wave structure of the atmosphere determine the frequency of the waves. These data are generally insufficient to identify the type of wave disturbances as well as the spatial scale is not defined waves. Problems can be solved by applying the method of projection operators, which allows us to identify the contribution of certain types of waves in the observed wave field. This work presents a procedure for constructing the projection operators for the Poincare and Rossby planetary waves in the spherical atmosphere in the approximation of "shallow water". The proposed procedure allows to obtain the generalized form of the projection operator approach without the use of β-plane.

Results of processing of diffraction images of dot sources are presented by a method of the maximum credibility. It is shown that the permission of two dot sources can be better, than the Releevsky permission. Results of modeling calculations are presented.

We study discrete isospectral symmetries for the linear problem in spatial dimensions two, by developing a Darboux (Moutard) transformation formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.

The ageing of nanocomposites (NCM) on the base of porous glasses with NaNO2 and NaNO3 embedded into pores has been studied. It is shown that storage of NCM at ambient conditions leads to creeping out of salts and recrystallization on sample surface. Space distribution of tin filled up the pores of porous glasses has been studied using a combination of ionic etching and Auger-spectroscopy.

In this paper it is investigated an influence of magnetic field characteristics (parameters and topology) of SPT using SPT-100 thruster model on efficiency of cathode-compensator operation while the cathode is translated. During investigations the comparison results of experiments and calculations suggests influence on efficiency of cathode-compensator operation either magnetic field topology or magnetic field induction in cathode position. It is founded a correlation between magnetic field induction in cathode position and thruster performance. It is determined assumptive magnetic field induction less as 30 Gauss in cathode position for better performance and requisite lifetime of thruster.

It has been found that in the synthesised hydrosol of silver plasmon resonance on lengths of waves λ = 430 nm has. It has been observed that in the presence of silver nanoparticles on a surface of silochrom increases the fluorescence of rhodamine 6G molecules. Fluorescence enhancement rhodamine 6G molecules in matrix of polyvinyl alcohol on the silver films received by electrodeposited reduction has been investigated. It is found that on rough silver films it is manifested plasmon resonance on lengths of waves of λ ~ 400 nm.

The results of investigation tests and comparative analysis of various low-power Electric Propulsion (EP) designed for their application as a part of electric propulsion systems (EPS) for small-sized spacecrafts are presented. Based on the analysis of main parameters and characteristics, the most prospective scheme of the EP design has been selected.

The equivalent circuit is developed to describe the electrical processes in the receiver path of the leaky wave antenna. The line has the slot-type radiator which is considered as a resistive-capacitive non-uniformity. The slot in the waveguide wall is considered as non-uniformity of resistivecapacitive type. The system of equations is composed and solved to investigate the balance of power in the receiver path and found the electrical parameters of the scheme.

This paper presents the results of observations of the dynamics of groundlevel aerosol made using two-wavelength (532, 1064 nm) atmospheric lidar (LSA-2S). The observations were made in December 2011 — January 2012 in the morning (8—10 h LT) in order to study the dynamics of aerosol during of the solar terminator period. In the observations revealed that appear aerosol characteristics oscillations with periods of 15—20 min during the period of the solar terminator. It is assumed that these oscillations can be caused by the excitation of internal gravity waves in the solar terminator.

The technique of an estimation of parameters of a dual-beam ionospheric signal is presented by a method of the maximum credibility. Results of modeling calculations and results of calculations of real ionospheric signals on line Moscow — Kaliningrad are resulted.

It is shown that unsteadiness parameters of components of the ionospheric signal leads to multiplicative noise. It largely affects the reliable data when receiving ionospheric signals. The estimation of the variance of the amplitudes for the reception of ionospheric signals with multiplicative noise. The results of studying the effectiveness of the methods of Doppler filtering when  receiving ionospheric signals.

The noise nature of discharge current oscillations of the stationary plasma thruster has been revealed. The maximal level of generated low-frequency conducted interferences in all the modes of the electro-dynamic thrust module simulator operation has been determined.

The equivalent circuit is developed to describe the electrical processes in the antenna of leaky wave. The slot of an arbitrary length in the waveguide wall is considered as non-uniformity of resistive-capacitive type with distributed parameters. The calculations are performed to determine the optimal values of the antenna parameters.

The method for analyzing the oscillator with the circuit between collector and base is suggested. It based on graphic solution the generator equation and allow us to make realaized choise of electric scheme parameters to achieve the required oscillator characteristics.

The model of multichannel system of the transfer, realizing a feedback, by the introduction of an additional package of impulses supervising reception of the information by corresponding station is developed.

The possibility of application of the newly developed multi-channel hybrid atmospheric optical communication system, which allows to increase the capacity, performance, reliability and efficiency of the communication channel. A well constructed simulations of the developed system.

This paper presents the results of a series of experiments whose purpose was to investigate the possible use of composite pulses to improve the homogeneity of the magnetic field and study the possibility of identifying compounds based on the relaxation characteristics of the NMR signals.

Analytical comparison of hyperbolic system consists of four equations for moments of the distribution function of relativistic electron beam (REB), the modeling transportation processes in the gas environment and the equations of gas dynamics of ideal polytropic gas was carried out. The found analogy between these models allowed to specify mathematical statement of a problem for REB and to facilitate a choice of edge conditions of the task.

Mathematical models for an estimation of quality of road-building materials are considered. The mathematical model of the modern asphalt-concrete factory with several asphalt-mixing installations is constructed. The technique of definition of reliability of work of a factory on release asphalt-concrete mixes is given.

This paper continues the cycle of works dealing with connections on a smooth family of centered planes in projective space. It is shown that composite clothing of such a family induces three-parameter bunch of bundles of fundamental-group connections. One induced connection is allocated from each of this bundles. Coincidence conditions of the received connections and geometrical interpretation of the linear sub connections is given.

Approach of almost periodic function with values in Banach space by trigonometric polynomials is considered.

The concept of the technical neural system for mobile robots is described. Mathematical description and the algorithm of learning are provided. A brief description of a subject domain is given and a feature of the problem is explained. The ways of application of the theory to mobile ropotics are specified. The future design of the theory is provided.

In this paper call attention to the neuro-iterative reconstruction algorithm based on the mathematical model of the measuring system. It combines the positive features of artificial neural networks and algebraic methods. Numerical simulation shows the characteristics of the reconstruction of influene for distributed physical fields.

Several ways of finding of the exact solutions inherent in the equations with soliton like solutions were applied to the given equation. In particular the presence of property of Penleve in the equation was conducted, solutions in the form of numbers of Lorana, exact solutions in the form of running waves and solutions received by the method of Hiroty were found.