Method of Ensuring Cyber Resilience of Digital Platforms Based on Catastrophe Theory

This article presents the valuable experience and practical results of exploratory research by authors on the scientific problem of cyber-resilient (Cyber Resilience) critical information infrastructure in the previously unknown heterogeneous mass cyber attacks of attackers based on similarity invariants. It is essential that the results obtained significantly complement the well-known practices and recommendations of ISO 22301 (https://www.iso.org), MITER PR 15-1334 (www.mitre.org) and NIST SP 800-160 (www.nist.gov) in terms of developing quantitative metrics and cyber resistance measures. This allows you to open and formally present the ultimate law of the effectiveness of ensuring the cyber stability of modern systems of Industry 4.0. in the face of growing security threats.