The Smale horseshoes in a class of non-invertible maps in with two-direction instability |
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| Authors: | Xu Zhang |
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| Institution: | 1. Department of Mathematics, Shandong University, Weihai, China.xu_zhang_sdu@mail.sdu.edu.cn |
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| Abstract: | 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. |
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| Keywords: | Fullshift hyperbolic set non-invertible Smale horseshoe |
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