In the present paper we study Li and Yorke chaos on several spaces in connection with the cardinality of its scrambled sets. We prove that there is a map on a Cantor set and a map on a two-dimensional arcwise connected continuum (with empty interior) such that each scrambled set contains exactly two points. (c) 2004 Elsevier Ltd. All rights reserved.
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Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, BrazilUniv Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, Brazil
Bernardes, N. C., Jr.
Bonilla, A.
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Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, SpainUniv Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, Brazil
Bonilla, A.
Peris, A.
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Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Edifici 8E,Acces F,4a Planta, E-46022 Valencia, SpainUniv Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, Brazil
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Wang, Hui
Lei, Fengchun
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Lei, Fengchun
Wang, Lidong
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Dalian Nationalities Univ, Dept Math, Dalian 116600, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
机构:City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
Tian, Chuanjun
Chen, Guanrong
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City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China