Vol 5, No 13 (2017)
- Year: 2017
- Published: 12.10.2017
- Articles: 10
- URL: https://ogarev-online.ru/2311-2468/issue/view/18552
Full Issue
Construction peculiarities of intrusion detection systems for information and telecommunication systems based on cloud computing
Abstract
The article provides an analysis of the intrusion detection systems architectures for information and telecommunication systems. The shortcomings of the architectures in application to the information and telecommunication systems based on cloud computing are identified. As a solution to the problem, the creation of a neural-network-based intrusion detection system is suggested.
Mathematical and information support of scenary modeling system of insider actions
Abstract
The article considers the use of simulation modeling as a basis for developing strategies to counter the insider threat to information security. A comparative analysis of the software systems designed for simulation modeling is conducted. The software package which best meets the requirements of constructing a behavior model of insiders is identified. The article also provides a description of internal threats to the information security of a company and ways to prevent them.
Analysis of fixed sign property of even degree forms
Abstract
The article investigates the algorithm for analyzing the property of having fixed sign of polynomials of even degree by reducing them to quadratic forms. The formalization of the algorithm is described, as well as the simplest complexity analysis in the worst case is provided.
Mathematical model of income dynamics in a closed system considering informal economic activities
Abstract
The article considers a mathematical model of non-linear system of differential equations to study the dynamics of income of economic agents in a closed economic system with different types of taxation, taking into account informal economic activities. The study highlights the relationship between the official and shadow economy, assesses the role of tax policy in the growth or reduction of shadow processes and the damage done by the shadow economy to the socioeconomic status of society.
Numerical modeling of hard systems by (𝟒, 𝟐)-method
Abstract
The article deals with the use of the (4,2)-method for a numerical solution of the Cauchy problem for the nonlinear system of ordinary differential equations, which corresponds to the mathematical model of the ethane pyrolysis brutto-reaction. A comparative analysis of the (4,2)-method and the explicit Euler method is carried out. The efficiency of the (4,2)-method is shown.
Local component-wise asymptotic equivalence and its application to investigate stability with respect to a part of variables
Abstract
The article introduces the notion of local component-wise asymptotic equivalence of systems of ordinary differential equations in relation to some functions. The sufficient conditions of component-wise stability, asymptotic stability and asymptotic equilibrium are received. The mathematical model of the ethane pyrolysis brutto-reaction is considered. The one-to-one mapping of the model established the local component-wise asymptotic equivalence of solutions of the researched system and its linear approximation. A nontrivial equilibrium of the system was investigated for stability with respect to a part of variables based on the constructed one-to-one mapping. The asymptotics of the solutions were found.
On periodic solutions for a class of linear inhomogeneous systems of ordinary differential equations with small parameter in resonance case
Abstract
By methods of branching theory, the authors find periodic solutions for a class of linear inhomogeneous systems of ordinary differential equations with a small parameter in the resonance case. Graphs of periodic trajectories of perturbed and unperturbed systems for different values of the resonance parameter are constructed.
Modeling of gas dynamic flows using CUDA technology
Abstract
This article describes a numerical algorithm for solving equations of gas dynamics using CUDA technology. The Poggie's conditions of instability by repeated passage of a shock wave through a contact discontinuity were simulated for the numerical experiment. The experiment results demonstrate the capabilities of the developed parallel version of the program.
Algorithm of solving a sparse system of linear algebraic equations of large dimension by conjugate gradient method
Abstract
The algorithm of solving sparse systems of linear algebraic equations of large dimension of a special type by using of the conjugate gradient method is described. The results of a computational experiment for different values of the input data are presented.