Modeling Methods and Characteristic Analysis of Novel 5D Hamiltonian Conservative Chaotic System with Adjustable-width Multi-directional Multi-scroll Attractors

Compared to single-scroll chaotic systems, multi-scroll chaotic systems (MSCSs) exhibit enhanced pseudorandomness. This study introduces a novel five-dimensional (5D) Hamiltonian conservative chaotic system (HCCS), which achieves multi-directional multi-scroll conservative chaotic systems (MSCCSs) distributed along single, dual, and triple axes through the incorporation of piecewise functions. The system allows for precise control over the number and size of scrolls by adjusting the parameters of the piecewise functions. Additionally, scrolls with varying energy levels can be generated by altering the system’s initial conditions (ICs). It was observed that the system’s Maximum Lyapunov exponent (MLE) increases with the number of scrolls and decreases with the width of the scrolls. After the National Institute of Standards and Technology (NIST) validation, the pseudo-random sequences based on this system demonstrated superior performance, successfully passing all NIST test criteria. Furthermore, this research implemented the system’s hardware circuit using Field Programmable Gate Array (FPGA) technology and experimentally verified the system’s physical feasibility.