Secondly, the concepts of unstable manifold on real segment are generalized. In general topological space, some properties of unstable manifold of continuous self-map are obtained; moreover, the correctness of these properties has been verified.
其次,推广了实线段上连续自映射的不稳定流形。
参考来源 - 几类广义周期点在拓扑空间的推广及其相关性质·2,447,543篇论文数据，部分数据来源于NoteExpress
运用分支方法，分析了未扰系统的同宿轨破裂以后稳定流形和不稳定流形之间的距离。
The bifurcation method was used to analyze the distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbated system was perturbated to break.
一类是投影点处的轨迹走向服从鞍点规律，且由于投影点位于稳定流形与不稳定流形分割的相平面的上部或下部，故轨迹将沿稳定流形方向到达动态鞍点再沿不稳定流形方向离开该点；
One is the saddle-type structure where the projection point is located either in the up part or the down part of the phase plane, which is divided by both stable and unstable manifolds.
动力学不稳定性模型被推广到有限几何形状的加热面，以解释微电子器件尺寸对池内沸腾换热临界热流形成机理的影响。
The hydrodynamic instability model is spread for finite geometries in order to explain effects of size of microelectronic devices on the mechanism of formation of pool boiling critical heat fluxes.
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