title: ÐÐ·Ð°Ð¸Ð¼Ð½Ð°Ñ ÑÐ¸Ð½Ñ ÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð² Ñ Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¾Ð¹
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: Mutual synchronization of generators with chaotic dynamics
Creators: name: Ð¡ÑÐ´Ð°ÐºÐ¾Ð²Ð°, Ð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¸Ð¹ Ñ Ð°Ð¾Ñ
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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 characteristic indexes

description: ÐÐ±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÑÑÑÑ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¾Ð¹. ÐÑÐµÐ´Ð¼ÐµÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÑÑÑÑ Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð² Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¾Ð¹. Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð² Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¾Ð¹. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð ÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð², Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ 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°. 2. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð°Ñ ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼. 3. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ Ð¸Ð·Ð²ÐµÑÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð° ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð° 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¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¸Ð½ÑÐµÐ·Ð° Ð¼Ð¾Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ° Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¡Ð¸Ð»ÑÐ²ÐµÑÑÑÐ° Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐ¸Ðµ Ð¸Ð¼ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¸ÑÑÐµÐ¼ ÑÐ²ÑÐ·Ð¸ Ð² ÑÑÐµÐ´Ðµ Simulink. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿Ð¾Ð»Ð½Ð¾Ð¹ ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ ÑÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð².
description: The study object is the generators with chaotic dynamics. The study subject is the synchronization methods of generators with chaotic dynamics. The purpose of the work is the comparison of the synchronization methods of generators with chaotic dynamics. Tasks that were solved during the study: 1. Implementation of synchronization methods of chaotic generators based on the control of Lyapunov characteristic indexes. 2. Construction of information transmission systems based on the implemented synchronization methods of chaotic systems. 3. Comparison of the implemented methods and the known synchronizing method of chaotic oscillations. As a result of the work the synchronization of chaotic generators was implemented using the method of synthesis of a modal controller and using the method of synthesis of control based on the solution of Sylvester equations, the corresponding models of communication systems were built in the Simulink. Also, a comparison of these methods and the method of the complete synchronization was carried out and conclusions were drawn about the applicability of these methods.