Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption
In this paper, we study the dynamic behavior of an impulse differential chaotic system which can be applied to image encryption. Combined with the chaotic characteristics of the high dimensional impulsive differential equations, the plaintext image can be encrypted by using the traditional Henon map...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/23/4835 |
| _version_ | 1797399874000388096 |
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| author | Junrong Guo Xiaolin Liu Ping Yan |
| author_facet | Junrong Guo Xiaolin Liu Ping Yan |
| author_sort | Junrong Guo |
| collection | DOAJ |
| description | In this paper, we study the dynamic behavior of an impulse differential chaotic system which can be applied to image encryption. Combined with the chaotic characteristics of the high dimensional impulsive differential equations, the plaintext image can be encrypted by using the traditional Henon map and diffusion sequences encryption algorithm. The initial values and control parameters serve as keys for encryption algorithms, and the algorithm has a larger key space. The key is resistant to minor interference and the accuracy can reach <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula>. The simulation results show that the impulsive differential chaotic system has a good application prospect in image encryption. |
| first_indexed | 2024-03-09T01:47:24Z |
| format | Article |
| id | doaj.art-df2e827aaebc45cfadbe450e9c85b225 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T01:47:24Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-df2e827aaebc45cfadbe450e9c85b2252023-12-08T15:21:54ZengMDPI AGMathematics2227-73902023-11-011123483510.3390/math11234835Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image EncryptionJunrong Guo0Xiaolin Liu1Ping Yan2College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, ChinaCollege of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, ChinaCollege of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, ChinaIn this paper, we study the dynamic behavior of an impulse differential chaotic system which can be applied to image encryption. Combined with the chaotic characteristics of the high dimensional impulsive differential equations, the plaintext image can be encrypted by using the traditional Henon map and diffusion sequences encryption algorithm. The initial values and control parameters serve as keys for encryption algorithms, and the algorithm has a larger key space. The key is resistant to minor interference and the accuracy can reach <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>12</mn></mrow></msup></mrow></semantics></math></inline-formula>. The simulation results show that the impulsive differential chaotic system has a good application prospect in image encryption.https://www.mdpi.com/2227-7390/11/23/4835impulsive differential equationchaosimage encryptionPoincaré cross section |
| spellingShingle | Junrong Guo Xiaolin Liu Ping Yan Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption Mathematics impulsive differential equation chaos image encryption Poincaré cross section |
| title | Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption |
| title_full | Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption |
| title_fullStr | Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption |
| title_full_unstemmed | Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption |
| title_short | Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption |
| title_sort | dynamic analysis of impulsive differential chaotic system and its application in image encryption |
| topic | impulsive differential equation chaos image encryption Poincaré cross section |
| url | https://www.mdpi.com/2227-7390/11/23/4835 |
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