Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids

作者：Du, Xiao Ming^*

来源：Acta Mathematica Sinica-English Series, 2014, 30(6): 1083-1088.

DOI：10.1007/s10114-013-2434-3

• Non-wandering expanding map
• branched 1-manifold
• solenoid

In this paper, we give a criterion of whether there are non-wandering expanding maps on a given branched 1-manifold. As an application, we give an example of a dynamic on a 3-manifold having non-zero first Betti number, the non-wander sets of which are two Smale-Williams solenoids.

• 出版日期2014-6
• 单位华南理工大学