Abstract
We show that in the class T of the triangular maps (x,y)↦(f(x),gx(y)) of the square there is a map with zero topological entropy which is Li-Yorke chaotic on a minimal set, but not distributionally chaotic DC2. This result answers an open question concerning classification of maps in T with zero topological entropy, and contributes to an old problem formulated by Sharkovsky.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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