The Smale horseshoes in a class of non-invertible maps in R3 with two-direction instability

作者：Zhang, Xu^*

来源：Journal of Difference Equations and Applications, 2017, 23(5): 965-982.

DOI：10.1080/10236198.2017.1307349

• Fullshift
• hyperbolic set
• non-invertible
• Smale horseshoe

We study the existence of Smale horseshoes of new type and the uniformly hyperbolic invariant sets for a class of non-invertible maps in three-dimensional Euclidean spaces with the dimension of instability equal to two. Parameter regions are given, for which the map has a horseshoe and a uniformly hyperbolic invariant set on which the map is topologically conjugate to the two-sided fullshift on four symbols.

• 出版日期2017
• 单位山东大学