title: Ð¨Ð¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ²ÐµÑÐ½ÑÑ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð³Ð¸Ð¿ÐµÑÑ Ð°Ð¾ÑÐ¸ÑÐ½ÑÑ Ð¾ÑÐ¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Encrypting color images using hyper-chaotic mappings
Creators: name: ÐÐ¸ÑÐµÐµÐ²Ð°, Ð®Ð»Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐµ
ÐÐ²Ð¸Ð¶ÐµÐ½Ð¸Ðµ
ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ð¹ Ñ Ð°Ð¾Ñ
ÐÑÐ¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ñ (Ð¼Ð°Ñ.)
ÐÐ·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ñ
Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»Ð¸ Ð»ÑÐ¿ÑÐ½Ð¾Ð²Ð°
lyapunov exponents

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description: In this work is considered the essence of color image encryption using hyper-chaotic mappings. The existing image encryption algorithms, their advantages and disadvantages are considered. Nonlinear dynamical systems of the fifth order are investigated for hyperchaos. An encryption algorithm based on the Lyapunov exponent control method is implemented. A comparative analysis is performed based on the results of testing algorithms with and without chaos amplification. The stability of the encryption algorithm to static and differential cryptanalysis is investigated. The subject of the graduate qualification work is Â«Encryption of color images using hyperchaotic mappingsÂ». The given work is devoted to studying nonlinear dynamic systems in which chaos occurs, and their use for image encryption with cryptographic stability. The research set the following goals: 1. Studuing literature sources on this problem. 2. Mastering the existing algorithms for encrypting color images using hyperhaos. 3. Investigation of nonlinear dynamical systems of the fifth order. Choosing a system with chaotic behavior. 4. Application of the Lyapunov exponent control method in the color image encryption algorithm. 5. Conducting experiments with different encryption rounds to test the performance of encryption algorithms. Visual comparison of the results. 6. Evaluation of the encryption algorithm's resistance to static and differential attacks. The paper uses modeling and synthesis methods to implement an encryption algorithm based on the control of Lyapunov exponents. Calculations were performed that clearly show that the proposed encryption algorithm meets the criteria of static and differential strength. The graphs were plotted using MatLab software. The results of the work illustrate the possibility of using hyperchaotic mappings of JC. Sprott as a system in which chaos can be amplified by a modal regulator, in an encryption algorithm. The proposed algorithm can be used in the future to protect information in another media format, as well as to improve its cryptographic strength by introducing a regulator based on the Sylvester method or a larger change in the older Lyapunov exponent.