论文标题
奇异性奇异双曲线套件不遮蔽
No-shadowing for singular hyperbolic sets with a singularity
论文作者
论文摘要
我们证明，每个具有奇异性的奇异双曲线链及时套件都不会承认阴影属性。使用此结果，我们表明，如果恒星在其链条复发集上具有阴影特性，则它可以满足公理A和无周期条件。而且，如果多轴心双曲线集具有阴影特性，则是双曲线。
We prove that every singular hyperbolic chain transitive set with a singularity does not admit the shadowing property. Using this result we show that if a star flow has the shadowing property on its chain recurrent set then it satisfies Axiom A and the no-cycle conditions; and that if a multisingular hyperbolic set has the shadowing property then it is hyperbolic.
