Image encryption based on local fractional derivative complex logistic map
Document Type
Article
Publication Date
9-1-2022
Abstract
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.
Keywords
Fractal, Local fractional calculus, Complex logistic map, Symmetric image encryption algorithm, Chaotic function, Subordination and superordination, Open unit disk, Analytic function, Univalent function
Divisions
fsktm
Funders
University of Malaya International Collaboration Grant [ST008-2022(UM.0001082/HRU.OP)]
Publication Title
Symmetry-Basel
Volume
14
Issue
9
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND