title: ÐÑÐ¸Ð¿ÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð·Ð°ÑÐ¸ÑÐ° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÑÐµÐ¼ÑÑ Ñ Ð°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
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: Cryptographic protection of information based on controlled chaotic systems
Creators: name: Ð¢ÑÑÑÐ»Ð¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´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: 2022
Subjects: ÐÑÐ¸Ð¿ÑÐ¾Ð³ÑÐ°ÑÐ¸Ñ
ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ
ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ñ Ð°Ð¾ÑÐ¾Ð¼
ÑÑÐ¸Ð»ÐµÐ½Ð¸Ðµ Ñ Ð°Ð¾ÑÐ°
Ð°ÑÑÑÐ°ÐºÑÐ¾Ñ ÑÐµÑÑÐ»ÐµÑÐ°
chaos management
chaos amplification
ressler attractor

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÑÐ¸Ð¿ÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð·Ð°ÑÐ¸ÑÐ° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÑÐµÐ¼ÑÑ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Â». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ ÑÐ¸ÑÑÐµÐ¼Ð°Ð¼Ð¸. 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Ð·ÑÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¸ ÑÐ²Ð¾Ð¹ÑÑÐ² ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼. 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ° Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ ÐÑÐ¿ÑÐ½Ð¾Ð²Ð°. 3. Ð¡Ð¸Ð½ÑÐµÐ· ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. 4. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. 5. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ ÑÐ°Ð¾ÑÐ°. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼. ÐÐ·ÑÑÐµÐ½Ð° ÑÐµÐ¾ÑÐ¸Ñ ÑÐ°Ð¾ÑÐ° Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð²ÑÐµÑ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð´Ð°Ð½Ð½ÑÑ Ð² Matlab Ð±ÑÐ» Ð½Ð°Ð¿Ð¸ÑÐ°Ð½ ÐºÐ¾Ð´ Ð´Ð»Ñ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð½Ð° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ðµ ÑÐ°Ð¾ÑÐ°. Ð ÑÐ²ÑÐ·Ð¸ ÑÐ¾ Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²Ð¾Ð¼ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼, ÑÐ¸Ð½ÑÐµÐ· ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ ÑÐ°Ð· Ñ ÑÐ°Ð·Ð½ÑÐ¼Ð¸ Ð²ÑÐ¾Ð´Ð½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¸Ð²Ð¾Ð´ÑÑÐ¸Ñ Ðº ÑÐ°Ð·Ð½ÑÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼. ÐÑÐµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð±ÑÐ»Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ Ð¸ Ð¿ÑÐ¸Ð²ÐµÐ»Ð¸ Ðº Â«Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¼ÑÂ» ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÐ»Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² Ð¿Ð¾ ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ°Ð¾ÑÐ¸ÑÐµÑÐºÐ¸ÑâÑÐ¿ÑÐ°Ð²Ð»ÑÐµÐ¼ÑÑ ÑÐ¸ÑÑÐµÐ¼ Ð±ÑÐ»Ð° Ð½Ð°Ð¿Ð¸ÑÐ°Ð½Ð° Ð°Ð²ÑÐ¾ÑÑÐºÐ°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð½Ð° ÑÐ·ÑÐºÐ°Ñ Java Ð¸ Python. ÐÑÐµ Ð·Ð°ÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð¸ Ð´ÐµÑÐ¸ÑÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð±ÑÐ»Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÑÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¾Ð¿Ð¸ÑÐ°Ð½Ñ Ð² ÑÐ°Ð±Ð¾ÑÐµ.
description: The topic of the final qualifying work: "Cryptographic protection of information based on controlled chaotic systems". This work is devoted to the study of information encryption using chaotic systems and the management of chaotic systems. Tasks that were solved during the study: 1. Study of the characteristics and properties of chaotic systems. 2. Investigation of the chaos control method using Lyapunov exponents. 3. Synthesis of control for a chaotic system. 4. Development of an information encryption algorithm. 5. Study of experimental data on information encryption using chaos.In the course of the work, the properties of chaotic mathematical systems were investigated. The theory of chaos and control is studied. Based on all the theoretical data, a code was written in Matlab to synthesize the control of a chaotic system to enhance chaos. Due to the many features of chaotic systems, control synthesis was performed several times with different input data leading to different results. All experimental data were studied and led to "optimal" control. For experiments on encrypting information using chaoticâcontrolled systems, an author's program was written in Java and Python. All encrypted and decrypted data has been studied. The results of these studies are described in the paper.