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Li-Yorke chaos of translation semigroups

Xinxing Wu

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

We give necessary and sufficient conditions for the translation -semigroup on weighted -spaces to be chaotic in the sense of Li-Yorke. © 2014 © 2014 Taylor & Francis.
Original languageEnglish
Pages (from-to)49-57
JournalJournal of Difference Equations and Applications
Volume20
Issue number1
DOIs
Publication statusPublished - Jan 2014
Externally publishedYes

Bibliographical note

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Funding

This paper was completed during the author’s visit to City University of Hong Kong. First of all the author would like to express his gratitude for warm hospitality and perfect work conditions there. The author also thanks referees for their careful reading and valuable suggestions which helped him to improve the quality of this article. This project was supported by YBXSZC20131046 and the Scientific Research Fund of Sichuan Provincial Education Department (No. 12ZA098).

Research Keywords

  • dense chaos
  • Li-Yorke chaos
  • sensitivity
  • translation -semigroup

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