New Class of Hamiltonian Chaotic Systems With Simple Structure and Complex Behaviors

The demand of information security drives the core application of pseudo-random generator in cryptography. Furthermore, chaos theory offers novel methodologies for the Internet of Things (IoT) to address nonlinear and high-dimensional dynamic challenges, demonstrating substantial potential in enhancing security, energy efficiency, and predictive accuracy. Compared with dissipative chaotic systems, the phase space conservation, symmetric Lyapunov exponential spectrum and non-reconfiguration of conservative chaotic systems significantly improve the attack resistance and dynamic stability, and the pseudo-random number generator designed by conservative chaotic systems has obvious advantages. In this paper, we explore a novel method for designing a new class of Hamiltonian chaotic systems with simple structural and complex behaviors. A five-dimensional (5D) system is presented and analyzed in detail. Using bifurcation diagram, Lyapunov exponents (LEs), complexity, phase portraits, and other indicators. Compared to existing systems, the proposed system exhibits better characteristics such as structural simplicity and heightened complexity. Additionally, the National Institute of Standards and Technology (NIST) has verified that the proposed system exhibits good randomness and has been deployed on a hardware platform for digital signal processing.