一种新的四维混沌系统及其数字实现

A New Four-Dimensional Chaotic System and Its Digital Implementation

提出了一种新的四维混沌系统,利用数值分析、相图与时序图分析、分岔图与Lyapunov指数图分析方法从不同方面分析了系统的基本动力学行为,并对不同参数下系统的吸引子状态进行分析。最后,对系统产生的混沌序列进行国际化标准的NIST随机性测试,并在DSP平台实现了系统的伪随机数字序列。实验结果与数值分析结果一致,系统产生的伪随机序列性能良好,可用于混沌通信系统和密码加密中。

This paper puts forward a new four-dimensional chaotic system.The basic dynamical characteristics of the system are analyzed through numerical analysis,phase diagram,time sequence analysis,bifurcation diagram,and lyapunov exponent spectrum.We also analyze the attractor state of the system with different parameters.Finally,it carries out the NIST randomness test for the chaotic sequences generated by the system,and realizes pseudo-random sequences on the DSP platform.The experimental results consistent with the numerical analysis,and the pseudo random sequence has good performance.The system can be used as a random signal source in chaotic communication systems and password encryption.