Geology structure often presents non-manifold situation due to faults, resulting in relatively difficulties on complex geological structure modeling.
地质结构往往由于断层等的存在经常呈现出非流形的情况，使得对复杂地质结构建模相对困难。
2
In the progress of modeling, We often meet Non-Manifold polygonal surfaces, but a lot of graphical algorithms that operate exclusively on a Manifold polygonal surfaces.
实际建模过程中，经常会遇到非流形的多边形表面，但很多现有的图形学算法都是基于流形结构的。
3
Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbolic internal dynamics is existed by using center manifold theory.