Construction of new 5D Hamiltonian conservative hyperchaotic system and its application in image encryption

While the Internet has made great progress in facilitating modern life, the importance of protecting information security becomes increasingly prominent. In this research, a novel image encryption method depending on the five-dimensional (5D) Hamiltonian conservative hyperchaotic system has been put forward. And the hyperchaotic system is constructed based on the theoretical foundation of Euler equation and energy analysis. Unlike dissipative chaotic systems, conservative chaotic systems have better ergodicity because there is no attractor. Moreover, there are two or greater Lyapunov exponents above zero in hyperchaotic systems, which leads to higher complexity. Therefore, the new 5D Hamiltonian conservative hyperchaotic system has stronger randomness, and it has more advantages in image encryption. In addition, we designed a new bit-plane segmentation method that combines bit diffusion to strengthen the diffusion effect and encryption reliability. Encryption experiments and the performance analyses illustrate that this proposed encryption method is provided with strong security and practicability.