On Dynamics of Triangular Maps of the Square with Zero Topological Entropy

• Autores: HaiHua Liang
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 761-768
• Idioma: inglés
• DOI: 10.1007/s12346-018-00311-7
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• Resumen

  • It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li–Yorke scrambled triples. In this paper we answer the question how the situation changes when triangular maps of the unit square are concerned instead of interval maps.