For graph maps, one scrambled pair implies Li-Yorke chaos

Ruette, Sylvie For graph maps, one scrambled pair implies Li-Yorke chaos = Pre zobrazenia grafov, jedna chaotická dvojica implikuje Li-Yorkov chaos / Sylvie Ruette, Ľubomír Snoha. -- It is known that, for interval and circle maps, the existence of a scrambled pair implies Li-Yorke chaos, in fact the existence of a Cantor scrambled set. We prove that the same result holds for graph maps. We further show that on compact countable metric spaces one scrambled pair implies the existence of an infinite scrambled set

In Proceedings of the American Mathematical Society. -- Providence : American Mathematical Society, 2014. -- ISSN 0002-9939. -- ISSN 1088-6826. -- Vol. 142, no. 6 (2014), pp. 2087-2100

1. scrambled pair 2. Li-Yorkov chaos 3. grafy 4. metrické priestory

I. Snoha, Ľubomír, 1955-
II. Proceedings of the American Mathematical Society. -- Vol. 142, no. 6 (2014), pp. 2087-2100

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