Novel One-Dimensional Chaotic System and Its Application in Image Encryption
Designing a chaotic system with a simple structure and complex dynamic behavior is one of the main tasks of chaotic cryptography. This paper designs a new 1D chaotic system called 1D two-parameters-sin-cos (1D-TPSC). Compared with high-dimensional chaotic systems, the 1D-TPSC has a simple structure...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi-Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/1720842 |
| _version_ | 1827008393693364224 |
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| author | Zhiqiang Cheng Wencheng Wang Yuezhang Dai Lun Li |
| author_facet | Zhiqiang Cheng Wencheng Wang Yuezhang Dai Lun Li |
| author_sort | Zhiqiang Cheng |
| collection | DOAJ |
| description | Designing a chaotic system with a simple structure and complex dynamic behavior is one of the main tasks of chaotic cryptography. This paper designs a new 1D chaotic system called 1D two-parameters-sin-cos (1D-TPSC). Compared with high-dimensional chaotic systems, the 1D-TPSC has a simple structure and is easy to implement with software. The Lyapunov exponent analyzes the parameter space of the 1D-TPSC in a chaotic state. Furthermore, using sensitivity analysis, cobweb plot, and bifurcation diagram to verify that the sequence generated by 1D-TPSC has good performance. In addition, the 1D-TPSC has also been applied in chaotic image encryption. Arnold mapping is used to scramble the plaintext, and random XOR is used to diffuse the scrambled image. Simulation experiments show that the method can remarkably resist standard attack methods. |
| first_indexed | 2024-04-11T08:26:37Z |
| format | Article |
| id | doaj.art-4c03fcf0971d4799bb165d7d4bfe8a4c |
| institution | Directory Open Access Journal |
| issn | 1099-0526 |
| language | English |
| last_indexed | 2025-02-18T12:32:12Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi-Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj.art-4c03fcf0971d4799bb165d7d4bfe8a4c2024-11-02T04:15:25ZengHindawi-WileyComplexity1099-05262022-01-01202210.1155/2022/1720842Novel One-Dimensional Chaotic System and Its Application in Image EncryptionZhiqiang Cheng0Wencheng Wang1Yuezhang Dai2Lun Li3School of Physics and Electronic InformationSchool of Mechanics and AutomationSchool of Physics and Electronic InformationSchool of Mechanics and AutomationDesigning a chaotic system with a simple structure and complex dynamic behavior is one of the main tasks of chaotic cryptography. This paper designs a new 1D chaotic system called 1D two-parameters-sin-cos (1D-TPSC). Compared with high-dimensional chaotic systems, the 1D-TPSC has a simple structure and is easy to implement with software. The Lyapunov exponent analyzes the parameter space of the 1D-TPSC in a chaotic state. Furthermore, using sensitivity analysis, cobweb plot, and bifurcation diagram to verify that the sequence generated by 1D-TPSC has good performance. In addition, the 1D-TPSC has also been applied in chaotic image encryption. Arnold mapping is used to scramble the plaintext, and random XOR is used to diffuse the scrambled image. Simulation experiments show that the method can remarkably resist standard attack methods.http://dx.doi.org/10.1155/2022/1720842 |
| spellingShingle | Zhiqiang Cheng Wencheng Wang Yuezhang Dai Lun Li Novel One-Dimensional Chaotic System and Its Application in Image Encryption Complexity |
| title | Novel One-Dimensional Chaotic System and Its Application in Image Encryption |
| title_full | Novel One-Dimensional Chaotic System and Its Application in Image Encryption |
| title_fullStr | Novel One-Dimensional Chaotic System and Its Application in Image Encryption |
| title_full_unstemmed | Novel One-Dimensional Chaotic System and Its Application in Image Encryption |
| title_short | Novel One-Dimensional Chaotic System and Its Application in Image Encryption |
| title_sort | novel one dimensional chaotic system and its application in image encryption |
| url | http://dx.doi.org/10.1155/2022/1720842 |
| work_keys_str_mv | AT zhiqiangcheng novelonedimensionalchaoticsystemanditsapplicationinimageencryption AT wenchengwang novelonedimensionalchaoticsystemanditsapplicationinimageencryption AT yuezhangdai novelonedimensionalchaoticsystemanditsapplicationinimageencryption AT lunli novelonedimensionalchaoticsystemanditsapplicationinimageencryption |