An autonomous five-dimensional (5D) system with offset boosting is constructed by modifying the well-known three-dimensional autonomous Liu and Chen system. Equilibrium points of the proposed autonomous 5D system are found and its stability is analyzed. The proposed system includes Hopf bifurcation, periodic attractors, quasi-periodic attractors, a one-scroll chaotic attractor, a double-scroll chaotic attractor, coexisting attractors, the bistability phenomenon, offset boosting with partial amplitude control, reverse period-doubling, and an intermittency route to chaos. Using a field programmable gate array (FPGA), the proposed autonomous 5D system is implemented and the phase portraits are presented to check the numerical simulation results. The chaotic attractors and coexistence of the attractors generated by the FPGA implementation of the proposed system have good qualitative agreement with those found during the numerical simulation. Finally, a sound data encryption and communication system based on the proposed autonomous 5D chaotic system is designed and illustrated through a numerical example.

通过修改众所周知的三维自主Liu和Chen系统，构建了具有偏移增强功能的自主5维（5D）系统。找到拟议的自治5D系统的平衡点，并分析其稳定性。拟议的系统包括Hopf分叉，周期性吸引器，准周期吸引器，单辊混沌吸引器，双辊混沌吸引器，共存吸引器，双稳态现象，具有部分幅度控制的偏移增强，反向周期倍增和间歇性路线走向混乱。使用现场可编程门阵列（FPGA），实现了建议的自主5D系统，并给出了相图来检查数值模拟结果。拟议系统的FPGA实现产生的混沌吸引子和吸引子的共存与数值模拟中发现的吸引子并存。最后，通过数值实例设计和说明了基于提出的自主5D混沌系统的声音数据加密和通信系统。