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Chaotic properties of a class of minimal sub-system on compact spaces

WANG Li-dong1, CHEN Zhi-zhi2, CHU Zhen-yan1   

  1. 1. Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian 116600, China;2. College of Mathematics, Normal University of Jilin, Siping 136000, China
  • Received:2003-05-15 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
  • Contact: WANG Li-dong

Abstract: Abstract: According to the iterative orbit the shelf-map of the same topologically conjugate class topological properties, we discuss a class of shelf-map on compact spaces and it is proved that if there exits a topolog ical semi-conjugate which is from compact spaces to symbolic spaces, then it ha s a minimal sub-system which displays Wiggins chaos and Martelli chaos.

Key words: chaos, minimal sub-system, topological semi-conjugate

CLC Number: 

  • O189