A triangular map of type 2(infinity) with positive topological entropy on a minimal set

作者：Balibrea F; Smital J^*; Stefankova M

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(5): 1690-1693.

DOI：10.1016/j.na.2010.10.040

• Minimal set
• Skew-product map
• Topological entropy

We provide a class of triangular maps of the square, (x, y) -> (f(x), g(x)(y)) of type 2(infinity), i.e., such that the periods of periodic points are the powers of 2, which has a minimal set supporting positive topological entropy. This improves the famous example by S. Kolyada from 1992 and contributes to the solution of an old problem by A.N. Sharkovsky.

• 出版日期2011-3-1