Received 11.09.2025, Revised 20.11.2025, Accepted 23.12.2025

Application of chaos theory to improve resilience of encryption systems in information technology

Volodymyr Lukhanin

The study aimed to provide a theoretical justification for the use of chaotic dynamical systems to enhance the strength of cryptographic keys. The research methodology was based on theoretical, comparative and critical analysis of scientific sources to assess the potential of chaotic systems. The study determined that chaotic maps provide high entropy, long periods and unpredictability of the generated sequences due to their sensitivity to initial conditions, which is confirmed by the Shannon entropy calculations and positive Lyapunov exponents. The use of hash functions and mechanisms for updating the internal state eliminated statistical correlations and increased the resistance of generators to cryptanalysis. The study demonstrated that the sequences obtained on the basis of the logistic mapping and the Lorentz system pass the standard statistical tests of NIST SP 800-22, demonstrating uniformity of distribution and absence of correlations. The use of the Chua circle as an analogue circuit provides physically implemented True Random Number Generators with low power consumption, suitable for resource-limited Internet of Things systems. The scheme with the integration of several chaotic maps has proven to increase the key space and increase the resistance to statistical attacks compared to traditional PseudoRandom Number Generators. The study determined that chaotic generators are able to provide forward and backward secrecy by updating the internal state of the system, which prevents the sequences from repeating. Chaotic generators have advantages over traditional PseudoRandom Number Generators due to their very long periods and sensitivity to initial conditions, but their effectiveness depends on cryptographic post-processing and the correct choice of parameters. The study recommended the use chaotic systems as an additional source of entropy in software and hardware implementations, in particular, in lightweight cryptographic solutions for the Internet of Things, sensor networks and mobile devices. The practical significance is determined by the application of the results by developers for secure encryption, researchers for random number generation, and Internet of Things engineers for device security

nonlinear dynamics; random number generators; cryptographic entropy; chaotic attractors; initialisation vectors; topological transitivity; cryptographic extraction
89-100
Lukhanin, V. (2025). Application of chaos theory to improve resilience of encryption systems in information technology. Information Technologies and Computer Engineering, 22(3), 89-100. https://doi.org/10.31649/vitce/3.2025.89

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