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A new one-dimensional chaotic system with applications in image encryption

Author

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  • Wang, Xingyuan
  • Li, Yanpei
  • Jin, Jie

Abstract

This paper presents a new and improved one-dimensional sinusoidal chaotic system (I1DS). After experimental verification, its chaotic performance has a larger range of chaotic parameters, higher sensitivity and complexity than the classic chaotic system. Based on I1DS, we propose a new image encryption scheme. First, I1DS is used to generate chaotic sequences to improve the security of the encryption algorithm. Then, the image is subjected to a dynamic bit-shifting recombination operation. Finally, a non-linear diffusion strategy is used to perform a synchronous shuffling diffusion operation (SSDO) for the image. Each pixel of the diffusion operation is highly sensitive to the subtle differences of the previous operation's pixel value, key, and chaotic interference value. Simulation experiment shows that the encryption scheme has a good speed and effect, can resist various cryptanalysis and attacks, and has better security.

Suggested Citation

  • Wang, Xingyuan & Li, Yanpei & Jin, Jie, 2020. "A new one-dimensional chaotic system with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304999
    DOI: 10.1016/j.chaos.2020.110102
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    References listed on IDEAS

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    1. Xiuli Chai & Zhihua Gan & Yang Lu & Yiran Chen & Daojun Han, 2017. "A novel image encryption algorithm based on the chaotic system and DNA computing," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-24, May.
    2. Liu, Chongxin & Liu, Ling & Liu, Tao, 2009. "A novel three-dimensional autonomous chaos system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1950-1958.
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    Citations

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    Cited by:

    1. Sameh Askar & Ahmad Alshamrani & Aesha Elghandour & Abdelrahman Karawia, 2023. "An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
    2. Folifack Signing, V.R. & Gakam Tegue, G.A. & Kountchou, M. & Njitacke, Z.T. & Tsafack, N. & Nkapkop, J.D.D. & Lessouga Etoundi, C.M. & Kengne, J., 2022. "A cryptosystem based on a chameleon chaotic system and dynamic DNA coding," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Moreira Bezerra, João Inácio & Valduga de Almeida Camargo, Vinícius & Molter, Alexandre, 2021. "A new efficient permutation-diffusion encryption algorithm based on a chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Yan, Minxiu & Jie, Jingfeng, 2022. "Fractional-order multiwing switchable chaotic system with a wide range of parameters," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Ye, Guodong & Wu, Huishan & Liu, Min & Huang, Xiaoling, 2023. "Reversible image-hiding algorithm based on singular value sampling and compressive sensing," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    6. Man, Zhenlong & Li, Jinqing & Di, Xiaoqiang & Sheng, Yaohui & Liu, Zefei, 2021. "Double image encryption algorithm based on neural network and chaos," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    7. Gao, Ya-jun & Xie, Hong-wei & Zhang, Jun & Zhang, Hao, 2022. "A novel quantum image encryption technique based on improved controlled alternated quantum walks and hyperchaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    8. Sun, Jing-yu & Wang, Wan-ting & Zhang, Hao & Zhang, Jun, 2023. "Color image quantum steganography scheme and circuit design based on DWT+DCT+SVD," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    9. Qingye Huang & Linqing Huang & Shuting Cai & Xiaoming Xiong & Hui Zhang, 2023. "On a Symmetric Image Cryptosystem Based on a Novel One-Dimensional Chaotic System and Banyan Network," Mathematics, MDPI, vol. 11(21), pages 1-21, October.

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