Akademik Veri Yönetim Sistemi
Multimedia Tools and Applications, cilt.84, sa.31, ss.38693-38716, 2025 (SCI-Expanded)
Chaotic map, due to its excellent unpredictability and complexity, is widely used in various fields, such as information security, information communication, and system control, etc., thus research work is being intensified to improve its chaotic characteristics. In this work, based on the published literatures, we proposed a noble 3D-ICCM (3D Infinite Collapse Coupling Map) by combining three 1D infinite collapse maps, so as to improve its chaotic performance and evaluated its chaotic characteristics. As can be seen from the bifurcation characteristic diagram from experiments, the distribution is very uniform and Lyapunov exponent has an average value of 2.5 over the whole chaotic characteristic range, and the information entropy also has a value of over 7.99. In addition, it has a value of over 0.1 for all 15 test parameters of NIST (National Institute of Standards and Technology) statistical tests. This demonstrates that the proposed 3D-ICCM is completely random, and has better chaotic properties than the previous 3D maps, especially the 3D-ICM (3D Infinite Collapse Map). In addition, in order to validate applicability of the proposed 3D-ICCM to image encryption, simple-structured pixel-level image encryption algorithm with our 3D-ICCM is designed and its robustness is verified through experiments. The experimental results convinced that the proposed image encryption algorithm has a sufficient key sensitivity and super ability to resist differential, Chosen-plaintext, cropping and noise attacks. The experimental results are fully uncovered in tables and images in this paper.