A Novel Generic Chaotic Framework and Its Application in Remote Sensing Image Encryption
C.M. Fu, Ruizi Gao, Anhong Tian, Her‐Terng Yau · International Journal of Bifurcation and Chaos · 2026
To mitigate the inherent limitations, uniformity, and inflexibility of existing chaotic system architectures, this paper proposes a novel four-dimensional universal chaotic framework (4D-EHM). This framework combines an arbitrary one-dimensional chaotic mapping with an exponential function to generate a novel four-dimensional chaotic system, and mathematically proves and numerically demonstrates its theoretical feasibility. To verify the universality and chaotic properties of 4D-exponential hyperchaotic mappings (4D-EHM), we selected five typical one-dimensional maps as seeds, thereby constructing three new four-dimensional chaotic maps. Through analysis, it shows pronounced chaotic characteristics across all performance metrics. Additionally, a hardware implementation plan was designed for this framework, and the practically feasible operation of this chaotic system was verified through hands-on testing. Furthermore, by applying the constructed chaotic system to remote sensing images, a novel remote sensing image encryption method is proposed. This method applies a random matrix to achieve pixel permutation and a new substitution box is proposed to implement pixel diffusion. Finally, an innovative waveform curve is combined to realize pixel diffusion. The experimental results fully validate the effectiveness and security of the proposed encryption scheme, demonstrating that 4D-EHM not only exhibits unique innovation in theoretical construction but also demonstrates strong advantages in practical applications.