Abstract
In this paper, a novel complex chaotic system is constructed. The characteristics of new complex chaotic system are analyzed by symmetric, dissipative and stability, then dynamical performances studied using bifurcation diagram, Lyapunov exponent spectrum and complexity. On the basis of this, an image diffusion algorithm is proposed based on the model of law of gravity. Security performances of the proposed algorithm are researched through the key space, statistics, information entropy, noise attack. The experimental results illustrates that the novel complex chaotic system has abundant dynamical behaviors and large parameters range, the security analysis shows that the proposed image encryption algorithm possess higher security features. Therefore, the research will provide theoretical guidance and experimental basis for chaotic secure communication and information security.
Highlights
At present, the research of chaos system mainly includes the most basic chaotic system model, the unknown parameter chaotic system, fractional-order chaotic system, time delay chaotic system, pulsed chaotic system and complex chaotic system model etc
APPLICATION OF THE NOVEL COMPLEX CHAOTIC SYSTEM IN IMAGE DIFFUSION According to above dynamic performance of new complex chaotic system, we propose an image diffusion algorithm based on the complex chaotic system and the model of law of gravity
The proposed image diffusion algorithm based on complex chaotic system and the model of law of gravity is shown in Fig. 11, and the corresponding steps are in detail described as follows
Summary
The research of chaos system mainly includes the most basic chaotic system model, the unknown parameter chaotic system, fractional-order chaotic system, time delay chaotic system, pulsed chaotic system and complex chaotic system model etc. Based on the above research background, a new complex chaotic system is constructed in this paper and it is implemented in image encryption algorithm. A variety of image encryption algorithms based on chaotic system are proposed [16]–[42]. Wang et al [17] designed a novel color image encryption scheme based on two complex chaotic systems. A new image encryption scheme based on chaotic map was presented by Wu et al [22]. On the basis of above research background, in this paper, a new complex chaotic system is constructed, and propose a novel image diffusion algorithm based on complex chaotic system and the model of law of gravity. When system parameter a > 0 and c > 0, the system is dissipative
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