2018/06/30 by Chuanfu Wang, Chunlei Fan, Qun Ding
Computer Science · Physics and Astronomy · #Chaos-based Image/Signal Encryption #Chaos control and synchronization #Quantum chaos and dynamical systems
paper · pdf · doi:10.1142/s0218127418500840
The chaotic system is widely used in chaotic cryptosystem and chaotic secure communication. In this paper, a universal method for designing the discrete chaotic system with any desired number of positive Lyapunov exponents is proposed to meet the needs of hyperchaotic systems in chaotic cryptosystem and chaotic secure communication, and three examples of eight-dimensional discrete system with chaotic attractors, eight-dimensional discrete system with fixed point attractors and eight-dimensional discrete system with periodic attractors are given to illustrate how the proposed methods control the Lyapunov exponents. Compared to the previous methods, the positive Lyapunov exponents are used to reconstruct a hyperchaotic system.