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arxiv: 1605.07047 · v1 · pith:RJOWZO4Rnew · submitted 2016-05-23 · 🧮 math.DS

Li-Yorke chaos for invertible mappings on compact metric spaces

classification 🧮 math.DS
keywords li-yorkechaoticcompactinvertiblemetricchaosclosedconstruct
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In this paper, we construct a homeomorphism on the unit closed disk to show that an invertible mapping on a compact metric space is Li-Yorke chaotic does not imply its inverse being Li-Yorke chaotic.

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