Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption
In this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization means the six-response systems have the same...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9146633/ |
| _version_ | 1818579269355307008 |
|---|---|
| author | Yuanyuan Huang Longwang Huang Yinhe Wang Yuxu Peng Fei Yu |
| author_facet | Yuanyuan Huang Longwang Huang Yinhe Wang Yuxu Peng Fei Yu |
| author_sort | Yuanyuan Huang |
| collection | DOAJ |
| description | In this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization means the six-response systems have the same shape of chaotic attractor as the six projective systems of driver system. Numerical simulations are given to verify the theoretical analysis, which clearly shows that the shape controllers can really make two systems achieve shape synchronization in a quite short time. Moreover, a shape synchronization encryption algorithm for color image is proposed. Simulation results reveal the superiority of the proposed approach. |
| first_indexed | 2024-12-16T06:59:01Z |
| format | Article |
| id | doaj.art-14224c5dc8df404e949d8e13db36bf9e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T06:59:01Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-14224c5dc8df404e949d8e13db36bf9e2022-12-21T22:40:12ZengIEEEIEEE Access2169-35362020-01-01813530813531910.1109/ACCESS.2020.30115249146633Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image EncryptionYuanyuan Huang0https://orcid.org/0000-0002-7971-6313Longwang Huang1https://orcid.org/0000-0002-9065-0247Yinhe Wang2https://orcid.org/0000-0001-8807-8897Yuxu Peng3Fei Yu4https://orcid.org/0000-0002-3091-7640College of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou, ChinaCollege of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaCollege of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaIn this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization means the six-response systems have the same shape of chaotic attractor as the six projective systems of driver system. Numerical simulations are given to verify the theoretical analysis, which clearly shows that the shape controllers can really make two systems achieve shape synchronization in a quite short time. Moreover, a shape synchronization encryption algorithm for color image is proposed. Simulation results reveal the superiority of the proposed approach.https://ieeexplore.ieee.org/document/9146633/Shape synchronization4-D chaotic systemdrive and responsechaotic attractorimage encryption |
| spellingShingle | Yuanyuan Huang Longwang Huang Yinhe Wang Yuxu Peng Fei Yu Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption IEEE Access Shape synchronization 4-D chaotic system drive and response chaotic attractor image encryption |
| title | Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption |
| title_full | Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption |
| title_fullStr | Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption |
| title_full_unstemmed | Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption |
| title_short | Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption |
| title_sort | shape synchronization in driver response of 4 d chaotic system and its application in image encryption |
| topic | Shape synchronization 4-D chaotic system drive and response chaotic attractor image encryption |
| url | https://ieeexplore.ieee.org/document/9146633/ |
| work_keys_str_mv | AT yuanyuanhuang shapesynchronizationindriverresponseof4dchaoticsystemanditsapplicationinimageencryption AT longwanghuang shapesynchronizationindriverresponseof4dchaoticsystemanditsapplicationinimageencryption AT yinhewang shapesynchronizationindriverresponseof4dchaoticsystemanditsapplicationinimageencryption AT yuxupeng shapesynchronizationindriverresponseof4dchaoticsystemanditsapplicationinimageencryption AT feiyu shapesynchronizationindriverresponseof4dchaoticsystemanditsapplicationinimageencryption |