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Chaotic functions with zero topological entropy

Chaotic functions with zero topological entropy

Recently Li and Yorke introduced the notion of chaos for mappings from the class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript 0 Baseline left-parenthesis upper I comma upper I right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>I</mml:mi> <mml:mo>,</mml:mo> <mml:mi>I</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">{C^0}(I,I)</mml:annotation> </mml:semantics> …