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Prikladnaya Diskretnaya Matematika. Supplement, 2024, Issue 17, Pages 125–129
DOI: https://doi.org/10.17223/2226308X/17/31
(Mi pdma661)
 

Mathematical Foundations of Computer Science and Computer Security

Application of finite dynamic systems for information security

A. V. Zharkova

Saratov State University
References:
Abstract: Graph models occupy an important place in problems related to information security. Finite dynamic system $(\Gamma_G, \alpha)$ is considered, the states of which are all possible orientations of a given graph $G$, and the evolutionary function $\alpha$ transforms a given state $\overrightarrow{G}$ by reversing all arcs in $\overrightarrow{G}$ that go into sinks, and there are no other differences between the given $\overrightarrow{G}$ and the next $\alpha(\overrightarrow{G})$ states. The paper suggests how this system can be used for information security, namely: as a model for ensuring audit and monitoring the state of an object under the influence of threats to its information security, and investigating information security incidents in automated information systems, as a model for managing the continuous operation of systems and system recovery, countering denials of service, as a technology for identifying and authenticating users and subjects of information processes, and an access control system.
Keywords: attractor, authentication, graph, identification, incident, cybersecurity, finite dynamic system, fault-tolerance, evolutionary function.
Document Type: Article
UDC: 519.1, 004.05
Language: Russian
Citation: A. V. Zharkova, “Application of finite dynamic systems for information security”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 125–129
Citation in format AMSBIB
\Bibitem{Zha24}
\by A.~V.~Zharkova
\paper Application of finite dynamic systems for information security
\jour Prikl. Diskr. Mat. Suppl.
\yr 2024
\issue 17
\pages 125--129
\mathnet{http://mi.mathnet.ru/pdma661}
\crossref{https://doi.org/10.17223/2226308X/17/31}
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