Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)

LIUJia-cheng; GUO Yao-huang; WANGLi

Volume 13 Issue 1

Feb. 2000

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Article Contents

Journal of Southwest Jiaotong University > 2000 > 13(1): 94-97.

LIUJia-cheng, GUO Yao-huang, WANGLi. Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 94-97.

Citation:

LIUJia-cheng, GUO Yao-huang, WANGLi. Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 94-97.

LIUJia-cheng, GUO Yao-huang, WANGLi. Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 94-97.

Citation:

LIUJia-cheng, GUO Yao-huang, WANGLi. Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 94-97.

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Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)

Publish Date: 25 Feb 2000

Abstract

Abstract

In this paper, the comparing-mapδon the symbolic spaceΣ2is introduced. Then an infinite 0-1 matrix is constructed to prove thatδis topologically conjugate to the shiftmapσ. Furthermore, the characters of periodic points of the comparing-mapδare studied, and several equivalent conditions for certain periodic points and generalized periodic points are obtained.
- topological conjugacy,
- symbolic dynamical system,
- periodic points