针对以往混沌子可视化方法法存在的某些局限，提出了相密度定义从而对吸引子在相空间中的分布情况进行了全局性的定量描述，并为混沌吸引子可视化提供了有效的参考与控制，另外，基于相密度实现的混沌吸引子体绘制可视化方法与Lyapunov谱特征可视化方法，还从不同角度揭示了混沌行为的整体变化情况以及局部相空间中混系统的基本特征，并在丰富混沌吸引子可视化内容与形式的同时，降低了可视化过程的复杂性。

This paper puts forward the definition of phase density to quantificationally describe how the attractor distributes in the phase space, which provides effective foundation and control for strange attractor visualization. The phase density can be calculated as the proportion of the number of phase points fallen into the vessel box which is positioned around each phase space point, thus clearly denote the denseness of attractor distribution around that point. Based on the phase density, the volume rendering and Lyapunov spectra rendering of strange attractor visualization can unveil the total chaotic behavior and local attributes of strange attractor respectively. During the attractor volume visualization, the source instension and the attenuation coefficient are both defined as nonlinear component according to the average phase density, and the image ordered algorithm is adopted to reduce the expensive computation. During the Lyapunov spectra visualization, the initial iterative point pair is first picked up automatically according to the phase density, and the adaptive growing up algorithm of flow pipe (or flow ribbon) can be implemented recursively from each initial point pair. The given typical strange attractor visualization examples demonstrate that the content and form of strange attractor visualization are enriched with the complexity is depressed.