C-1-stably expansive flows
C-1-stably expansive flows
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DOI：
10.1016/j.jde.2004.08.003
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发表时间：
2005-06
影响因子：
2.4
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中科院分区：
文献类型：
--
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本文将积分流为扩张的向量场集合的c1内刻画为同时满足公理A和拟横截性条件的无奇异向量场集合，并证明了上述具有阴影性质的向量场一定是结构稳定的。作为推论，存在一个矢量场的非空C1open集，其积分流不具有遮蔽性。
In this paper, the C1interior of the set of vector fields whose integrated flows are expansive is characterized as the set of vector fields without singularities satisfying both Axiom A and the quasi-transversality condition, and it is proved that the above vector fields possessing the shadowing property must be structurally stable. As a corollary, there exists a non-empty C1open set of vector fields whose integrated flows do not have the shadowing property.