Mathematical methods in cybersecurity: catastrophe theory

Шевченко, Світлана Миколаївна and Жданова, Юлія Дмитрівна and Спасітєлєва, Світлана Олексіївна (2023) Mathematical methods in cybersecurity: catastrophe theory Кібербезпека: освіта, наука, техніка, 3 (19). pp. 165-175. ISSN 2663-4023

Text Shevchenko_S_Zhdanovа_Y_Spasiteleva_S_СEST_3_19_2023.pdf - Published Version Download (1MB)

Abstract

The improvement of protection systems is based on the introduction and use of a mathematical apparatus. Ensuring the confidentiality, integrity and availability of information is an urgent and important problem in the modern world. Crisis processes are characteristic phenomena in security systems, so stochastic models cannot always describe their functioning and give a solution. An effective tool for solving this problem can be the use of dynamic models based on the provisions of catastrophe theory. This study is devoted to the analysis of modern approaches to the use of the basic provisions of catastrophe theory in cybersecurity systems. The work presents a brief historical view of the development of this theory and highlights the main definitions: bifurcations, attractors, catastrophes. Elementary catastrophes, their forms and features are characterized. A review of the literary sources of the use of catastrophe theory in information and cyber security was carried out. The analysis made it possible to single out that this theory has not yet been widely implemented, but there are point scientific developments in the process of detecting network anomalies in the cloud environment. The considered approaches to the application of catastrophe theory in information and cyber security can be used to train specialists in the specialty 125 Cybersecurity in the process of research.

Item Type:	Article
Uncontrolled Keywords:	cybersecurity systems; information protection; dynamic models; mathematical methods; catastrophe theory; bifurcation; attractors; elementary catastrophes
Subjects:	Це архівна тематика Київського університету імені Бориса Грінченка > Статті у наукометричних базах > Index Copernicus Це архівна тематика Київського університету імені Бориса Грінченка > Статті у журналах > Фахові (входять до переліку фахових, затверджений МОН)
Divisions:	Це архівні підрозділи Київського університету імені Бориса Грінченка > Факультет інформаційних технологій та математики > Кафедра інформаційної та кібернетичної безпеки імені професора Володимира Бурячка
Depositing User:	Ю. Д. Жданова
Date Deposited:	05 Apr 2023 10:00
Last Modified:	05 Apr 2023 10:00
URI:	https://elibrary.kubg.edu.ua/id/eprint/44687

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