A conservative chaotic system with coexisting chaotic-like attractors and its application in image encryption
Minxiu Yan, Junhong Xie · Journal of Control and Decision · 2022
Unlike dissipative systems, conservative systems do not have attractors and no attractor reconstruction occurs. Therefore, these systems are more suitable for application in image encryption. On the basis of above appoints, here we develop and propose a conservative system with infinite chaotic-like attractors. The conservative and chaotic characteristics and coexistence chaotic-like attractors are studied using Lyapunov exponents, Poincare maps, and numerical simulation. The results show that the coexistence of chaotic-like attractors has a more complex structure and dynamic behaviour than traditional ones. Additionally, the developed system is further used to design an encryption system for a digital image. Using the coexistence chaotic-like attractor sequence to scramble and diffuse the image can destroy the correlation of adjacent pixels and hide the information of all pixels. The feasibility and security of the encryption scheme are demonstrated through the analysis of key space, histogram, information entropy, key sensitivity and pixel correlation.