Please wait a minute...
Chin. Phys. B, 2025, Vol. 34(3): 030503    DOI: 10.1088/1674-1056/ada7db
GENERAL Prev   Next  

Hybrid image encryption scheme based on hyperchaotic map with spherical attractors

Zhitang Han(韩智堂)1, Yinghong Cao(曹颖鸿)1,†, Santo Banerjee2, and Jun Mou(牟俊)1,‡
1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
2 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
Abstract  Existing chaotic encryption schemes primarily focus on single types of images, making the design of hybrid image encryption schemes more suitable for practical applications. In this paper, a hyperchaotic map with a spherical attractor is proposed, which is constructed using spherical coordinates. Dynamical analyses reveal that the hyperchaotic map exhibits global hyperchaos and high complexity, making it capable of generating more complex chaotic sequences suitable for image encryption. A hybrid encryption scheme based on a hyperchaotic map is proposed for two-dimensional (2D) images, three-dimensional (3D) models, and 3D point clouds. Firstly, the pixels of 2D image and the coordinate data of 3D image are fused into a plaintext cube, which is combined with Hash-512 to obtain the initial value of the hyperchaotic map. Chaotic sequences are utilized for cube space internal confusion and dynamic cross-diffusion. The encrypted images demonstrate high information entropy, and the test results show that the encryption scheme effectively protects the images. The proposed hybrid image encryption scheme provides an efficient solution for securing various types of images.
Keywords:  hyperchaotic map      spherical attractor      global hyperchaos      hybrid image encryption  
Received:  01 December 2024      Revised:  19 December 2024      Accepted manuscript online:  09 January 2025
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the Basic Scientific Research Projects of Department of Education of Liaoning Province, China (Grant No. LJ212410152049), and the Technological Innovation Projects in the field of artificial intelligence of Liaoning Province, China (Grant No. 2023JH26/10300011).
Corresponding Authors:  Yinghong Cao, Jun Mou     E-mail:  caoyinghong@dlpu.edu.cn;moujun@dlpu.edu.cn

Cite this article: 

Zhitang Han(韩智堂), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊) Hybrid image encryption scheme based on hyperchaotic map with spherical attractors 2025 Chin. Phys. B 34 030503

[1] Wang R and Ji W 2020 IEEE Transactions on Emerging Topics in Computational Intelligence 4 616
[2] Mou J, Zhang Z, Banerjee S and Zhang Y 2024 IEEE Internet of Things Journal 11 33565
[3] Gong M, Chai X, Lu Y and Zhang Y 2024 IEEE Transactions on Circuits and Systems for Video Technology 34 7628
[4] Zhang Z, Tang J, Zhang F, Huang T and Lu M 2024 IEEE Transactions on Circuits and Systems for Video Technology 34 9250
[5] Zhang Z, Zhou N, Sun B, Banerjee S and Mou J 2024 Journal of the Franklin Institute 361 106844
[6] Tan L, Cao Y, Banerjee S and Mou J 2025 The Journal of Supercomputing 81 96
[7] Li Z, Wang Y, Zhang N, Zhang Y, Zhao Z, Xu D, Ben G and Gao Y 2022 Remote Sensing 14 2385
[8] Cai C, Wang Y, Cao Y, Sun B and Mou J 2024 Applied Intelligence 54 5944
[9] Tian J, Jin S, Zhang X, Yang S and Shi D 2024 Chin. Phys. B 33 050502
[10] Ma Z and Liu S 2018 Advanced Engineering Informatics 37 163
[11] Nurunnabi A, West G and Belton D 2015 Pattern Recognition 48 1404
[12] Kedzierski M and Fryskowska A 2015 Measurement 74 221
[13] Cao Y, Tan L, Xu X and Li Bo 2024 Mathematics 12 1990
[14] Mou J, Zhang Z, Zhou N, Zhang Y and Cao Y 2024 IEEE Internet of Things Journal 2024 1
[15] Su J, Hong Y, Fang S and Wen Y 2024 Chin. Phys. B 33 070502
[16] Zhu J, Cao Y, Mou J and Banerjee S 2024 International Journal of Bifurcation and Chaos 34 2450140
[17] Chen Y, Cao Y, Mou, J, Sun B and Banerjee S 2024 International Journal of Bifurcation and Chaos 34 2450069
[18] Cai C, Cao Y, Jahanshahi H, Mou J and Sun B 2024 Journal of the Franklin Institute 361 106874
[19] Ma T, Mou J, Banerjee S and Cao Y 2023 Chaos, Solitons and Fractals 176 114113
[20] Shi F, Cao Y, Banerjee S, Ahmad AMand Mou J 2024 Chaos, Solitons and Fractals 189 115723
[21] Feng W, Yang J, Zhao X, Qin Z Zhang J, Zhu Z, Wen H and Qian K 2024 Mathematics 12 3917
[22] Cao H, Cao Y, Xu X and Mou J 2024 Physica Scripta 99 085226
[23] Matthews R 1989 Cryptologia 13 29
[24] Zhou Y, Bao L and Chen C P 2014 Signal Processing 97 172
[25] Cheng Z, Wang W, Dai Y and Li L 2022 Complexity 2022 1720842
[26] Cao H, Cao Y, Qin L and Mou J 2025 Chaos, Solitons and Fractals 191 115857
[27] Wang L, Banerjee S, Cao Y, Mou J and Sun B 2024 Nonlinear Dyn. 112 8637
[28] Chen L, Li C and Li C 2022 Journal of Visual Communication and Image Representation 83 103424
[29] Wu X, Hu H and Zhang B 2004 Chaos, Solitons and Fractals 22 359
[30] Liu S, Li C and Hu Q 2021 IEEE MultiMedia 29 74
[31] Feng W, Zhang J, Chen Y, Qin Z, Zhang Y, Ahmad M and Wózniak M 2024 Expert Systems with Applications 246 123190
[32] Ma Y, Mou J, Jahanshahi H Alkhateeb A F and Bi X 2024 Chaos, Solitons and Fractals 173 113708
[33] Lima V S, Madeiro F and Lima J B 2020 Computers in Biology and Medicine 121 103772
[34] Raghunandan K, Dodmane R, Bhavya K, Rao N K and Sahu A K 2022 IEEE Access 11 3545
[35] YangW, Huang J, He X andWen S 2024 Neural Networks 172 106089
[36] Gao S,Wu R,Wang X,Wang J, Li Q,Wang C and Tang X 2023 Signal Processing 202 108745
[37] Xian, Y, Wang X, Teng L, Yan X, Li Q and Wang X 2022 Information Sciences 596 304
[38] Zhao R, Zhang Y, Li S, Wen W, Yi S and Lan R 2024 Expert Systems with Applications 238 122140
[39] Zhang Z Y, Mou J, Banerjee S and Cao Y H 2024 Chin. Phys. B 33 020503
[40] Zhang H, Hu H and Ding W 2024 Information Sciences 665 120332
[41] Mou J, Cao H, Zhou N and Cao Y 2024 IEEE Transactions on Cybernetics 54 7333
[42] Zhang Z, Mou J, Zhou N, Banerjee S and Cao Y 2022 Nonlinear Dyn. 112 5727
[43] Cun Q, Tong X, Wang Z and Zhang M 2023 The Visual Computer 39 6589
[44] Xu M 2023 Optics and Laser Technology 167 109746
[45] Kumar C M, Vidhya R and Brindha M 2022 Applied Intelligence 52 2556
[46] Xian Y, Wang X, Zhang Y, Yan X and Leng Z 2023 Multimedia Tools and Applications 82 407
[47] Wu Y, Zhou Y, Saveriades G, Agaian S, Noonan J P and Natarajan P 2013 Information Sciences 222 323
[48] Ye G, Wu H, Huang X and Tan S 2023 Chin. Phys. B 32 030504
[49] Zhou S,Wang X, Zhang Y, Ge B,WangMand Gao S 2022 Multimedia Systems 28 95
[50] Zhang X and Hu Y 2021 Optics and Laser Technology 141 107073
[51] Zhou Z, Xu X, Yao Y, Jiang Z and Sun K 2023 Chaos, Solitons and Fractals 173 113630
[52] Zhang L and Zhang X 2020 Multimedia Tools and Applications 79 20753
[1] A color image encryption algorithm based on hyperchaotic map and DNA mutation
Xinyu Gao(高昕瑜), Bo Sun(孙博), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊). Chin. Phys. B, 2023, 32(3): 030501.
[2] A novel hyperchaotic map with sine chaotification and discrete memristor
Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉), and Huihai Wang(王会海). Chin. Phys. B, 2022, 31(12): 120501.
No Suggested Reading articles found!