A new conservative chaotic system and its application in image encryption

Abstract

A new n-dimensional conservative chaotic model is proposed to quickly realise a conservative chaotic system. The validity of this model is verified by generating a five-dimensional conservative chaotic system as an example. This system is dynamically analysed from the perspective of Lyapunov exponents (LEs), complexity and phase diagram, which prove its good chaotic properties. Compared with existing systems, the proposed system has a simple structure, large LEs, continuous chaotic ranges and high complexity. Additionally, the National Institute of Standards and Technology verified that the proposed system demonstrates good randomness and is implemented on a digital signal processor hardware platform. Subsequently, a new image encryption scheme that uses true random numbers, lattice-based public key cryptography and dynamic P- and S-boxes is presented based on the new system. The results show that the algorithm demonstrates the capability of the cryptosystem to achieve quality encryption while resisting quantum computer, statistical, differential and cutting attacks compared with other encryption algorithms.