title: ÐÐ¾Ð»Ð½Ð°Ñ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ñ Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÑÐ¼Ð¸ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°
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: Complete synchronization of chaotic systems based on the control of Lyapunov characteristic indicators
Creators: name: Ð¡Ð°Ð²ÑÑÐº, Ð¡ÐµÑÐ³ÐµÐ¹
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: 2022
Subjects: ÐÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ
Ð¤ÑÐ½ÐºÑÐ¸Ð¸ (Ð¼Ð°Ñ.) ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°
Ð¡Ð¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ñ
Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ
Ð¿Ð¾Ð»Ð½Ð°Ñ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ñ Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð²
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°
chaotic systems
full synchronization of chaotic generators
Lyapunov characteristic exponents

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description: The topic of the final qualifying work: "Complete synchronization of chaotic systems based on the control of Lyapunov's characteristic indicators". The object of the study is generators with chaotic dynamics. The subject of the study is the methods of synchronization of generators with chaotic dynamics. The purpose of this work is to establish complete synchronization between two chaotic Lorentz generators, with different parameters at the receiving and transmitting sides. Tasks that were solved during the study: 1. The study of the mathematical apparatus used in the complete synchronization of generators using chaotic dynamics. 2. Study of ways to use synchronization of chaotic oscillators for the hidden transfer of information between them. 3. Analysis of currently existing synchronization methods, as well as methods of complete synchronization of chaotic systems. 4. Implementation of the method of establishing full synchronization, based on the management of Lyapunov's characteristic indicators together with mutual influence. 5. Construction and testing of a system with mutual influence and control of Lyapunov's characteristic indicators. 6. Comparison of the system with mutual influence and with the management of Lyapunov's characteristic indicators with a system based only on mutual influence, without the management of Lyapunov exponents. As a result of the work, synchronization of chaotic generators with different parameter values was implemented using the control synthesis method based on the solution of the Sylvester equation together with the feedback method and a corresponding model of the communication system in the Matlab environment was built. This method was also compared with the method of complete synchronization of chaotic systems based on the method of mutual influence and conclusions were drawn about the applicability of this method.