Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system

Hegui Zhu, Jiangxia Ge, Wentao Qi, Xiangde Zhang and Xiaoxiong Lu

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 198, issue C, 188-210

Abstract: Due to complex properties of ergodicity, non-periodic ability and sensitivity to initial states, chaotic systems are widely used in cryptography. In this paper, we propose a sinusoidal-polynomial composite chaotic system (SPCCS), and prove that it satisfies Devaney’s definition of chaos: the sensitivity to initial conditions, topological transitivity and density of periodic points. The experimental results show that SPCCS has better unpredictability and more complex chaotic behavior than the classical chaotic maps. Furthermore, we provide a new image encryption algorithm combining pixel segmentation operation, block chaotic matrix confusing operation and pixel diffusion operation with the proposed SPCCS. The detailed simulation results verify superiority and effectiveness of the proposed image encryption algorithm.

Keywords: Sinusoidal-polynomial composite chaotic system; Devaney chaos; Image encryption; Pixel segmentation; Block chaotic matrix confusing (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:198:y:2022:i:c:p:188-210

DOI: 10.1016/j.matcom.2022.02.029

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