Abstract
This paper presents a digital image cryptosystem utilizing a novel dynamic system with very interesting features. The oscillator is designed by introducing a feedback control law to the third line of the Lorenz oscillator with exponential nonlinearity. This exponential nonlinearity is replaced with hyperbolic sine nonlinearity to induce more complexity in the oscillator. Using some well-known computation analysis tools like Lyapunov spectrum, bifurcation analysis, and phase portraits representations, the dynamic analysis indicates that the oscillator can show chaos or hyperchaos for the same parameter space. In addition, the oscillator is equilibrium free, consequently its attractors are classified as hidden. Finally, the sequences of the oscillator are utilized to design a robust encryption scheme. Our method relies on a discrete orthogonal moment, confusion and diffusion stages. The input image is represented in the transform domain using Hahn orthogonal moments. Chaotic sequences are used to confuse and diffuse the obtaind image. Various security techniques have been used with success to show that our encryption process is powerful to resist malicious attacks.
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