典型混沌系统的吸引子和功率谱研究

Studying of attractors and power spectrums in typical chaotic systems

阐述了功率谱的计算方法,利用MATLAB得到了Lorenz系统、Henon系统和Chen系统的奇怪吸引子和功率谱.研究表明,奇怪吸引子的存在证实混沌系统的相轨迹最终被吸引到某一点附近运动,"噪声背景"和"宽峰"是混沌系统功率谱的特征.

The method of calculating power spectrums is presented .Strange attractors and power spectrums in the Lorenz system, the Henon system,and the Chen system are obtained by utilizing Matlab .It shows that, the strange attractor validate that the motion of a chaotic system ’s phase track is finally attracted to some points , and “noise background” and “wide crest” are characteristic of a chaotic system’s power spectrum.