According to center manifold theory, high dimensional map and simplified map are equivalent near by bifurcation point.

根据中心流形定理，高维映射与被降维的简化映射的局部分岔行为是等价的。

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Then on the basis of invariant manifold theory and Poincaré section, a transfer trajetory between L1 and L2 of the Earth-Moon system was given.

然后基于不变流形理论和庞加莱截面方法，设计了不同拉格朗日点间转移轨道。

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Based on the stable manifold theory, the chaotic system will be controlled and synchronized if it is guided to the desired target by designing a suitable controller.

这种方法以稳定流形理论为基础，通过设计合适的控制器将混沌系统引至目标轨道，使混沌得以控制和同步。

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