CHAOTIC HOMEOMORPHISMS OF C INDUCED BY HYPERBOLIC TORAL AUTOMORPHISMS AND BRANCHED COVERINGS OF C | Zendy

Joo-Sung Lee | Zendy

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CHAOTIC HOMEOMORPHISMS OF C INDUCED BY HYPERBOLIC TORAL AUTOMORPHISMS AND BRANCHED COVERINGS OF C

Author(s) -

Joo-Sung Lee

Publication year - 2003

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2003.18.1.105

Subject(s) - mathematics , ramification , automorphism , chaotic , pure mathematics , chaotic map , discrete mathematics , combinatorics , artificial intelligence , computer science

It is well known that there exists a regular branched covering map from T 2 onto ¯ C i the ramification indices are (2 ;2;2; 2), (2;4;4), (2;3;6) and (3;3;3). In this paper we construct (count- ably many) chaotic homeomorphisms induced by hyperbolic toral automorphism and regular branched covering map corresponding to the ramification indices (2;2;2;2). And we also gave an example which shows that the above construction of a chaotic map is not true in general if the ramification indices is (2;4;4) and also show that there are no chaotic homeomorphisms induced by hyperbolic toral automorphism and regular branched covering map corresponding to the ramification indices (2;3;6) and (3;3;3).

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