[1] LORENZ E N. Deterministic nonperiodic flow[J]. Journal of the Atmospheric Sciences, 1963, 20(2):130-141. [2] MATTEWS R. On the derivation of a "Chaotic Encryption Algorithm"[J]. Cryptologia, 1989, 8(8):29-42. [3] FRIDRICH J. Symmetric ciphers based on two-dimensional chaotic maps[J]. International Journal of Bifurcation and Chaos, 1998, 8(6):1259-1284. [4] TANG G, WANG S, LU H, et al. Chaos-based cryptograph incorporated with S-box algebraic operation[J]. Physics Letters A, 2003, 318(4):388-398. [5] CHEN G R, MAO Y, CHUI C K. A symmetric image encryption scheme based on 3D chaotic Cat maps[J]. Chaos Solitons and Fractals, 2004, 21(3):749-761. [6] MAO Y, CHEN G R, LIAN S. A novel fast image encryption scheme based on 3D chaotic Baker maps[J]. International Journal of Bifurcation and Chaos, 2004, 14(10):3613-3624. [7] ZHANG Y. Plaintext related image encryption scheme using chaotic map[J]. Telkomnika, 2014, 12(1):635-643. [8] ZHANG Y, XIA J, CAI P, et al. Plaintext related two-level secret key image encryption scheme[J]. Telkomnika, 2012, 10(6):1254-1262. [9] ZHANG Y. A chaotic system based image encryption algorithm using plaintext-related confusion[J]. Telkomnika, 2014, 12(11):7952-7962. [10] ZHANG Y. The image encryption algorithm with plaintext-related shuffling[J]. IETE Technical Review, 2015, 33(3):310-322. [11] 刘乐鹏,张雪锋.基于混沌和位运算的图像加密算法[J].计算机应用,2013,33(4):1070-1073.(LIU L P, ZHANG X F. Image encryption algorithm based on chaos and bit operations[J]. Journal of Computer Applications, 2013, 33(4):1070-1073.) [12] LI C, LIN D, LU J. Cryptanalyzing an image-scrambling encryption algorithm of pixel bits[J]. IEEE Multimedia, 2017, 24(3):64-71. [13] CHEN J X, HUA F F, QIAN W, et al. Cryptanalysis and improvement in an image encryption scheme using combination of the 1D chaotic map[J]. Nonlinear Dynamics, 2018, 93(4):2399-2413. [14] ZHU H G, ZHANG X D, YU H, et al. A novel image encryption scheme using the composite discrete chaotic system[J]. Entropy, 2016, 18(8):276-302. [15] ZHU H G, ZHANG X D, YU H, et al. An image encryption algorithm based on compound homogeneous hyper-chaotic system[J]. Nonlinear Dynamics, 2017, 89(1):61-79. [16] 谷帆,唐晨,苏永钢.基于离散余弦变换与二维Ushiki混沌的图像加密[J].光学技术,2017,43(4):319-328.(GU F, TANG C, SU Y G. Image encryption based on discrete cosine transform and Ushiki map[J]. Optical Technique, 2017, 43(4):319-328.) [17] 于万波,赵斌.曲面迭代混沌特性研究[J].物理学报,2014,63(12):35-45.(YU W B, ZHAO B. A new chaotic attractor graphics drawing method based on the curved iteration[J]. Acta Physica Sinica, 2014, 63(12):35-45.) [18] 方鹏飞,吴成茂,王保平.反馈移位寄存器和三角混沌相结合的加密算法[J].小型微型计算机系统,2014,35(3):630-635.(FANG P F, WU C M, WANG B P. Linear feedback shift register and triangular chaotic system encryption algorithm combining[J]. Journal of Chinese Computer Systems, 2014, 35(3):630-635.) [19] 刘会师,余重秀,尹霄丽,等.切比雪夫光混沌发生器的优化[J].物理学报,2009,58(4):2231-2234.(LIU H S, YU C X, YIN X L, et al. An optimization scheme for generating of Chebyshev optical chaotic sequence[J]. Acta Physica Sinica, 2009,58(4):2231-2234.) [20] 甘建超,肖先赐.混沌的可加性[J].物理学报,2003,52(5):1085-1090.(GAN J C, XIAO X C. Characteristic of addition of chaos[J]. Acta Physica Sinica, 2003, 52(5):1085-1090.) [21] 于津江,曹鹤飞,许海波,等.复合混沌系统的非线性动力学行为分析[J].物理学报,2006,55(1):29-34.(YU J J, CAO H F, XU H B, et al. Nonlinear dynamic behaviors of complex chaotic systems[J]. Acta Physica Sinica, 2006, 55(1):29-34.) [22] ZHU H G, ZHANG X D, YU H, et al. An image encryption algorithm based on compound homogeneous hyper-chaotic system[J]. Nonlinear Dynamics, 2017, 89(1):61-79. [23] HUA Z Y, ZHOU Y C. Image encryption using 2D Logistic adjusted Sine map[J]. Information Sciences, 2016, 339(C):237-253. [24] NOROUZI B, SEYEDZADEH S M, MIRZAK-UCHAKI S, et al. A novel image encryption based on row-column, masking and main diffusion processes with hyper chaos[J]. Multimedia Tools and Applications, 2013, 74(3):781-811. [25] 徐扬,黄迎久,李海荣.一个切换Lorenz混沌系统在图像加密中的应用[J].包装工程,2018,39(5):179-184.(XU Y, HUANG Y J, LI H R. Application of a switched Lorenz chaotic system in image encryption[J]. Packaging Engineering, 2018, 39(5):179-184.) [26] ZHOU, Y C, BAO L, CHEN C L P. A new 1D chaotic system for image encryption[J]. Signal Processing, 2014, 97(7):172-182. [27] 王静,蒋国平.一种超混沌图像加密算法的安全性分析及其改进[J].物理学报,2011,60(6):83-93.(WANG J, JIANG G P. Cryptanalysis of a hyperchaotic image encryption algorithm and its improved version[J]. Acta Phsica Sinica, 2011,60(6):83-93.) [28] 林青,王延江,王珺.基于超混沌系统的图像加密算法[J].中国科学(技术科学),2016,46(9):910-918.(LIN Q, WANG Y J, WANG J. The image encryption scheme with optional dynamic state variables based on hyperchaotic system[J]. Scientia Sinica Technologica, 2016, 46(9):910-918.) |