Image encryption based on local fractional derivative complex logistic map

Natiq, Hayder and Al-Saidi, Nadia Mohammed Ghanim and Obaiys, Suzan Jabbar and Mahdi, Mohammed Najah and Farhan, Alaa Kadhim (2022) Image encryption based on local fractional derivative complex logistic map. Symmetry-Basel, 14 (9). ISSN 2073-8994, DOI

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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.

Item Type: Article
Funders: University of Malaya International Collaboration Grant [ST008-2022(UM.0001082/HRU.OP)]
Uncontrolled Keywords: Fractal; Local fractional calculus; Complex logistic map; Symmetric image encryption algorithm; Chaotic function; Subordination and superordination; Open unit disk; Analytic function; Univalent function
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 08 Sep 2023 03:28
Last Modified: 08 Sep 2023 03:28

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