Almost Periodicity and Distributional Chaos in Banach Space

Lidong Wang; Shi Tang

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 ⊂ ().

Keywords: distributional chaos Banach space almost periodic point

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_23