Нетейлорівська диференціально-ігрова модель Екліпс атаки на вузол блокчейну

Relevance. Information technologies of the 21st century have profoundly reshaped the global economy. As financial processes become increasingly digitalized, the role of traditional banking institutions as intermediaries is gradually diminishing. In this evolving landscape, blockchain technologies and cryptocurrencies have emerged as revolutionary tools, offering decentralized and secure alternatives to conventional financial systems. Cryptocurrencies, built on blockchain foundations, combine high reliability with robust protection against cyberattacks. However, both individual hackers and organized cybercriminal groups continue to target blockchain infrastructures – focusing not only on isolated nodes but also on entire networks and cryptocurrency wallets. Ensuring the resilience of blockchain technologies against such threats is therefore critical to safeguarding users’ digital assets. Eclipse Attacks involve isolating a node to gain control over its information flows, posing a serious threat to network integrity. The object of research. This study introduces a differential game-theoretic model of Eclipse Attacks on blockchain nodes, formulated within a Markov chain framework. The subject of the research. The proposed model employs non-Taylor differential transformations developed by Academician G. Pukhov, enabling a more flexible analytical representation of attack dynamics. The purpose of this paper. The framework captures the strategic interaction between attacker and defender, offering a basis for assessing node security under adversarial conditions. Research results. As a result, the study provides a practical analytical toolkit for developing effective countermeasures against Eclipse Attacks and contributes to the broader discourse on cybersecurity in decentralized systems.