SYMBOLIC DYNAMICS IN FLOWS ON THREE-MANIFOLDS
SYMBOLIC DYNAMICS IN FLOWS ON THREE-MANIFOLDS
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DOI：
10.1090/s0002-9947-1983-0704612-1
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发表时间：
1983
影响因子：
1.3
通讯作者：
J. Franks
中科院分区：
文献类型：
--
作者：
J. Franks
本文讨论了三维流形上的非奇异Smale流的基本集合可以实现为有限型的什么悬置子移位的问题。它表明，任何暂停子移位可以实现在这样的流的一些三流形。如果有限型子移位的矩阵中含有反映方向的符号，则在S3上实现与某些矩阵对应的基本集是有障碍的。
This article deals with the problem of what suspended subshifts of finite type can be realized as a basic set of a nonsingular Smale flow on three-dimensional manifolds. It is shown that any suspended subshift can be realized in such a flow on some three-manifold. Also if signs reflecting orientation are included in the matrix of the subshift of finite type then there is an obstruction to the realization on S3 of basic sets corresponding to some matrices.