An improved two-dimensional chaotic system for image encryption

Tu Pengfei, Xuefeneg Zhang, Tingting Chen · 2023

Images are now often used as data carriers on the Internet, which has sped up the development of image encryption based on chaotic systems. The security of this image encryption algorithm is highly dependent on the stability of chaotic systems. This work suggests a two-dimensional chaotic mapping based on the improvement of classical chaotic mapping to address current chaotic mapping issues such small parameter range and poor correlation performance of generated sequences. The Exponent function is added as a disturbance and the Logistic and Cosine one-dimensional chaotic maps are coupled to create a two-dimensional chaotic map. The enhanced map significantly widens the chaotic map's parameter window and raises its level of complexity. The test results demonstrate that the proposed system has 5 parameters, a large key space, a Lyapunov exponent of 7, a slightly modified initial value, and a changeable system state after 2 to 4 iterations. These findings demonstrate that the two-dimensional chaotic map proposed in this paper has better chaotic performance and is therefore better suited for image encryption.

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