Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Almost Periodicity and Distributional Chaos in Banach Space

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  • @INPROCEEDINGS{10.1007/978-3-642-02469-6_23,
        author={Lidong Wang and Shi Tang},
        title={Almost Periodicity and Distributional Chaos in Banach Space},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
        proceedings_a={COMPLEX PART 2},
        year={2012},
        month={5},
        keywords={distributional chaos Banach space almost periodic point},
        doi={10.1007/978-3-642-02469-6_23}
    }
    
  • Lidong Wang
    Shi Tang
    Year: 2012
    Almost Periodicity and Distributional Chaos in Banach Space
    COMPLEX PART 2
    Springer
    DOI: 10.1007/978-3-642-02469-6_23
Lidong Wang1,*, Shi Tang2,*
  • 1: Dalian Nationalities University
  • 2: Liaoning Normal University
*Contact email: wld0117@yahoo.cn, fatcatts2003@yahoo.com.cn

Abstract

Let (, ∥ · ∥) be a Banach space, : → continous Freche’t differentiable map.Denote the set of almost periodic point by ().In this paper,we prove that there exists an uncountable set such that | is distributionally chaotic,and  ⊂ ().