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Almost Periodicity and Distributional Chaos in Banach Space

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Complex Sciences (Complex 2009)

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Abstract

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

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Author information

Authors and Affiliations

  1. Mathematical department of Dalian Nationalities University, Dalian Nationalities University, 116600, China

    Lidong Wang

  2. Mathematical department of Liaoning Normal University, Liaoning Normal University, 116029, China

    Shi Tang

Authors
  1. Lidong Wang
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  2. Shi Tang
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Editor information

Editors and Affiliations

  1. Network Technology Research Centre, Research Techno Plaza, Nanyang Technology University, 4th story X‘Frontiers, Block 50 Nanyang Drive, 637553, Singapore

    Jie Zhou

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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Wang, L., Tang, S. (2009). Almost Periodicity and Distributional Chaos in Banach Space. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_23

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  • DOI: https://doi.org/10.1007/978-3-642-02469-6_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02468-9

  • Online ISBN: 978-3-642-02469-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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