Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841457 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 5 Pages |
Abstract
We show that in the class T of the triangular maps (x,y)â¦(f(x),gx(y)) of the square there is a map of type 2â with non-minimal recurrent points which is not DC3. We also show that every DC1 continuous map of a compact metric space has a trajectory which cannot be (weakly) approximated by trajectories of compact periodic sets. These two results make possible to answer some open questions concerning classification of maps in T with zero topological entropy, and contribute to an old problem formulated by A.N. Sharkovsky.
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Authors
F. Balibrea, J. SmÃtal, M. Å tefánková,