Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841794 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 4 Pages |
Abstract
We provide a class of triangular maps of the square, (x,y)↦(f(x),gx(y))(x,y)↦(f(x),gx(y)) of type 2∞2∞, i.e., such that the periods of periodic points are the powers of 22, 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.
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Authors
F. Balibrea, J. Smítal, M. Štefánková,