A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption
Xin Huang, Wenhao Yan, Wenjie Dong, Qun Ding · Symmetry · 2025
This study proposes a novel two-dimensional hyperchaotic map model based on an orthogonal feedback mechanism, exhibiting dynamic behaviors with multistable characteristics and high complexity. By analyzing the homogeneous multistability of the system, it is revealed that the initial states determine the positions of attractors. An image encryption scheme for color images is developed by integrating confusion and diffusion strategies with this hyperchaotic map. The effectiveness of the proposed scheme in enabling secure image transmission is validated through comprehensive numerical simulations and rigorous security assessments.