ω-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite
نویسندگان
چکیده
منابع مشابه
On the dynamic of monotone graph, dendrite and dendroid maps
We show that, for monotone graph map f , all the ω-limit sets are finite whenever f has periodic point and for monotone dendrite map, any infinite ω-limit set does not contain periodic points. As a consequence, monotone graph and dendrite maps have no Li-Yorke pairs. However, we built a homeomorphism on a dendroid with a scrambled set having nonempty interior.
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2019
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127419500706