Image Encryption Based on Local Fractional Derivative Complex Logistic Map
Local fractional calculus (fractal calculus) plays a crucial role in applications, especially in computer sciences and engineering. One of these applications appears in the theory of chaos. Therefore, this paper studies the dynamics of a fractal complex logistic map and then employs this map to gene...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/9/1874 |
| _version_ | 1797481962983653376 |
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| author | Hayder Natiq Nadia M. G. Al-Saidi Suzan J. Obaiys Mohammed Najah Mahdi Alaa Kadhim Farhan |
| author_facet | Hayder Natiq Nadia M. G. Al-Saidi Suzan J. Obaiys Mohammed Najah Mahdi Alaa Kadhim Farhan |
| author_sort | Hayder Natiq |
| collection | DOAJ |
| description | Local fractional calculus (fractal calculus) plays a crucial role in applications, especially in computer sciences and engineering. One of these applications appears in the theory of chaos. Therefore, this paper studies the dynamics of a fractal complex logistic map and then employs this map to generate chaotic sequences for a new symmetric image encryption algorithm. Firstly, we derive the fractional complex logistic map and investigate its dynamics by determining its equilibria, geometric properties, and chaotic behavior. Secondly, the fractional chaotic sequences of the proposed map are employed to scramble and alter image pixels to increase resistance to decryption attacks. The output findings indicate that the proposed algorithm based on fractional complex logistic maps could effectively encrypt various kinds of images. Furthermore, it has better security performance than several existing algorithms. |
| first_indexed | 2024-03-09T22:21:49Z |
| format | Article |
| id | doaj.art-1503a73b37f848379509cdcdce13c2b7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:21:49Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1503a73b37f848379509cdcdce13c2b72023-11-23T19:12:22ZengMDPI AGSymmetry2073-89942022-09-01149187410.3390/sym14091874Image Encryption Based on Local Fractional Derivative Complex Logistic MapHayder Natiq0Nadia M. G. Al-Saidi1Suzan J. Obaiys2Mohammed Najah Mahdi3Alaa Kadhim Farhan4Information Technology College, Imam Ja’afar Al-Sadiq University, Baghdad 10001, IraqDepartment of Applied Sciences, University of Technology, Baghdad 10066, IraqDepartment of Computer Systems and Technology, Faculty of Computer Science and Information Technology, University Malaya, Kuala Lumpur 50603, MalaysiaADAPT Centre, School of Computing, Dublin City University, D09 DXA0 Dublin, IrelandComputer Science Department, University of Technology, Baghdad 10066, IraqLocal fractional calculus (fractal calculus) plays a crucial role in applications, especially in computer sciences and engineering. One of these applications appears in the theory of chaos. Therefore, this paper studies the dynamics of a fractal complex logistic map and then employs this map to generate chaotic sequences for a new symmetric image encryption algorithm. Firstly, we derive the fractional complex logistic map and investigate its dynamics by determining its equilibria, geometric properties, and chaotic behavior. Secondly, the fractional chaotic sequences of the proposed map are employed to scramble and alter image pixels to increase resistance to decryption attacks. The output findings indicate that the proposed algorithm based on fractional complex logistic maps could effectively encrypt various kinds of images. Furthermore, it has better security performance than several existing algorithms.https://www.mdpi.com/2073-8994/14/9/1874fractallocal fractional calculuscomplex logistic mapsymmetric image encryption algorithmchaotic functionsubordination and superordination |
| spellingShingle | Hayder Natiq Nadia M. G. Al-Saidi Suzan J. Obaiys Mohammed Najah Mahdi Alaa Kadhim Farhan Image Encryption Based on Local Fractional Derivative Complex Logistic Map Symmetry fractal local fractional calculus complex logistic map symmetric image encryption algorithm chaotic function subordination and superordination |
| title | Image Encryption Based on Local Fractional Derivative Complex Logistic Map |
| title_full | Image Encryption Based on Local Fractional Derivative Complex Logistic Map |
| title_fullStr | Image Encryption Based on Local Fractional Derivative Complex Logistic Map |
| title_full_unstemmed | Image Encryption Based on Local Fractional Derivative Complex Logistic Map |
| title_short | Image Encryption Based on Local Fractional Derivative Complex Logistic Map |
| title_sort | image encryption based on local fractional derivative complex logistic map |
| topic | fractal local fractional calculus complex logistic map symmetric image encryption algorithm chaotic function subordination and superordination |
| url | https://www.mdpi.com/2073-8994/14/9/1874 |
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