A novel six-wing chaotic system with line equilibrium and its application in image encryption

Abstract

This paper presents a novel chaotic system with linear equilibrium, which has six wings compared to the conventional chaotic system. Different types of attractors, including chaotic, cycle-doubling bifurcation and coexisting attractor types, are obtained by controlling a single parameter through analytical tools such as phase diagrams, bifurcation diagrams, Poincare diagrams, and Lyapunov exponentials (LEs) as a means of verifying that the system has dynamical properties suing a high degree of complexity and stochasticity. In particular, offset lifting control and sensitivity to initial values are found. In addition, two positive LEs are observed when the parameters are fixed. The agreement between the analogue circuit and the numerical simulation through Multisim simulation confirms the feasibility of the theoretical model of the new system. The proposed system is applied to image encryption based on the classical algorithms, and its histogram, neighbouring pixel correlation, attack resistance and information entropy can be verified. The experimental results show that the new system is very sensitive to the key and plaintext, and it can effectively resist statistical attacks and differential attacks.