A steganographic information protection system based on the direct spectrum extension method is considered. Possibility to increase the volume of information transmitted in the system is analyzed. A criterion is chosen for determining the degree of image distortion after introduction of the hidden message. Efficiency of application of block overlapping when embedding the additional information with a low degree of image distortion is determined.

Analysis of transition processes in scalar fields of dynamic systems generated by the effect of puncture points of these fields is presented. The resulting equation of displacement center motion for the scalar field of a dynamical system is derived in the form of an equilateral hyperbola with variable numerator, quantized by the puncture points of the displacement center. The quantum character of the motion is demonstrated with the help of topologic map of landmark signs using Lorenz attractor as an example. A notation for forward and backward movements is proposed to allow for visualization of both the movements with minimal means.

The problem of ensuring information and psychological security is considered. A universal approach to proactively respond to potentially dangerous conditions of individual and group consciousness, based on mathematical modeling and forecasting of dynamics of mental state of a thinking system in ultrametric p-adic coordinate system is proposed. Application of the lattice theory to ultrametric modelling of mental dynamics is justified. A hypothesis concerning possibility of formal mathematical description of mental contamination as a subset in phase space of dynamic behavior model of a person is formulated and substantiated. Statements and appropriate proofs regarding the number and properties of fixed points of monomial dynamic systems as well as objects generated by them – attractors, repellers, and Siegel disks are presented. An essential theoretical contribution made to the theory of identification consists in application of abstract non-Archimedean analysis to modelling of states dynamics of conscience as specific complex system.

For real-time information and communication systems, possibility of increasing the probability of errorless and timely delivery of packets over aggregated channels is investigated. The effect of redundant copies of packets transfer through multiple channels for delivery to the addressee a copy of the package via at least one of them is analyzed.

Schemes of devices applied for optical channels axes alignment in optical-electronic complex are discussed. The devices used in workshop conditions as a component of control-calibration instrumentation and as built-in control systems are considered. A mathematical model of a simple device for axes alignment testing is proposed, possible causes of errors and methods of their elimination are described. Recommendations for implementation of the design of the device for optical channels axes alignment testing are presented.

The problems of synthesis of stable resonators of solid-state lasers used for Hermite — Gaussian beams generation are discussed. Formulas describing relation of laser beam parameters at the input and output of the active element with parabolic profile of reflective index are derived. A method is developed for synthesis of solid-state laser resonator; the method is reported to ensures the generated beam spatial parameters matching characteristics of thermo-optically distorted active element. Results of resonator synthesis for solid-state laser are presented.

A method for calculating non-stationary temperatures of isothermal space object of conical and cylindrical shape moving along elliptic orbit in the plane of the terminator. A spherical object is taken as a standard. The method incorporates the equation of the movement of object along elliptic trajectory, algorithms of calculation of coefficients of the object illumination by the thermal radiation of Earth, and the equation of non-stationary heat exchange for the object in the near-Earth space. Thermal equivalence and the similarity for objects of the shape under consideration are revealed.

Methodical uncertainties in measurements of unsteady surface temperature of massive bodies using various contact temperature converters are analyzed. Two approaches to the problem of actual temperature retrieving are considered: 1) based on Laplace transform application, leading to operational method of integration of arising differential equations, and 2) an approach using difference-differential models of heat transfer in the system of a thermocouple — object of the study that leads to a numericalanalytical calculation method.

A model experiment on mass transfer process in an aqueous solution of glycerol under the action of low-power laser radiation is carried out at weak absorption of the radiation by the medium. The concentration of glycerol solution providing the most pronounced mass transfer effect is determined as 9:1. The presented dependences of the radiation power transmitted through the area of exposure, and the temperature in the area center, on duration of the radiation action, confirm the effect of mass transfer.

Application of the discrete element method for modeling of rocks crushing in a jaw crusher is considered. Interaction between the jaw crusher walls and the bulk material under processing is studied. The process of modeling is examined stage by stage starting from the crusher construction design in solid and surface-modeling system Solid Edge. Modelling of the crushing process is based on experimental data obtained using the crushing unit BOYD. Results of the study of the material crushing process and size distribution of the rock mass pieces are presented. Comparative analysis of actual experimental data with the modeling process is performed.

Results of mathematical modeling of the process of climate parameters control in the manufacturing of microelectronics under non-stationary disturbances are presented. It is shown that loss of efficiency of PID control can be compensated with the use of a climate control system incorporating fuzzy controller and recurrent estimation device.