Using exponential trichotomy and the local geometrical expressions ofinvariant manifolds , the conditions are given for the persistence andtransversality of orbits situated in a heteroclinic manifold withequilibria undergoing transcritical bifurcations 本文应用指数三分性和不变流形的局部几何表示方法,给出异宿流形上的轨道当两个奇点经历超临界分支和摄动时保存和横截的条件
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Fourthly , in term of the basal theory of the reliability of structural system , the basal system assessing the reliability of the multiplayer steel frame is put forward and established ; the trichotomy that is a way basal system assessing the reliability of the steel frame according as the route of transferring forces and assessing the reliability of the steel frame of coke made by dry flameout , which can improve the the assessing ways on the reliability of our country criterion and add the assessing ways on the reliability of the multiplayer steel frame 第四，根据结构体系可靠性的基本原理，提出和建立了多层钢框架可靠性评定的基本体系，提出按传力路径评定钢框架体系可靠性的三分点法，并对干熄焦钢框架的可靠性进行了完整的评定，它们可改进现行国家标准的可靠性评定方法，并为增加多层框架的可靠性评定方法提供参考。
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We use the earthquake situation trichotomy method to deal with the datum of small earthquakes in huabei region , the result shows , the relativity between group seismic precursor informaitons and large earthquakes is rifeness phenomenon of large area , the shake of large earthquakes are globality , the remote correlation of shake are globality 采用“震情三分律”的方法处理了华北地区小震活动的数据，分析认为成组震兆的出现与大震之间的遥联性绝不只是一种小区域性的现象，而是一种大范围的普遍现象，大地震是全球性的震动，其震动遥联性的显示，就必然是跨越全球性的。
