Skip to main content
SpringerLink
Log in

Chaos Caused by a Transitive Map in Information

  • Conference paper
E-business Technology and Strategy (CETS 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 113))

Included in the following conference series:

  • 1307 Accesses

Abstract

In this paper, the chaotic phenomena have been discussed in an information system design process. Let (X, d 1) (Y, d 2) be compact metric spaces without isolated point and h : X →Y be a semi-conjugacy between f and g, where f : X →X g : Y →Y are continuous maps. In this paper, we investigated the expanding maps with transitivity. And we gave a sufficient condition about expanding maps are chaotic in the sense of Wiggins and Kato.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Li, T., Yorke, J.: Period 3 Implies Chaos. Math. Monthly 82, 985–992 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  2. Huang, W., Ye, X.D.: Deveny’s Chaos or 2-scattering Implies Li-York’s chaos. Topology and Its Applications 117(3), 259–272 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  3. Xiong, J.C., Chen, E.C.: Chaos Caused by a Strong-mixing Measure-preserving Transformation. Science of China (A) 40(3), 253–260 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  4. Zhou, Z.: Symbolic Dynamical. Shanghai Scientific and Technological Education Publishing House, Shanghai (1997)

    Google Scholar 

  5. Xiong, J.C.: Chaos in a Topologically Transitive System. Science of China (A) 35(3), 302–311 (2005)

    MATH  Google Scholar 

  6. Wang, Y., Wei, G.: Conditions Ensuring that Hyperspace Dynamical Systems Contain Subsystems Topologically (semi-)conjugate to Symbolic Dynamical Systems. Chaos, Solitons and Fractals 36(2), 283–289 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Zhou, Z.Z., He, W.H.: Administrative Levels of Orbit Structure and Topological Semi-conjugate. Science of China (A) 25(5), 457–464 (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Science, Dalian Nationalities University, 18# Liaohe West Road, Dalian, 116600, Liaoning, China

    Lidong Wang & Heng Liu

  2. Mathematical departments, Liaoning Normal University, 850# Huanghe Road, Dalian, 116029, Liaoning, China

    Jiao Peng

Authors
  1. Lidong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiao Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Heng Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Queen’s University, 99 University Avenue, K7L 3N6, Kingston, Ontario, Canada

    Marzia Zaman

  2. Royal Military College of Canada, 13 General Crerar Cres, K7K 7B4, Kingston, ON, Canada

    Yawei Liang

  3. Université du Québec en Outaouais, 283 boul. Alexandre-Taché, C.P. 1250, J8X 3X7, Gatineau, Québec, Canada

    Sohail M Siddiqui

  4. CeBA Canada, 1107-2720 Queensview Drive, K2B 1A5, Ottawa, ON, Canada

    Tim Wang

  5. Sprott School of Business, Carleton University, 1125 Colonel By Drive, K1S 5B6, Ottawa, Ontario, Canada

    Vincent Liu

  6. University of Toronto, 172 St. George Street, M5R 0A3, Toronto, Canada

    Ceecee Lu

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, L., Peng, J., Liu, H. (2010). Chaos Caused by a Transitive Map in Information. In: Zaman, M., Liang, Y., Siddiqui, S.M., Wang, T., Liu, V., Lu, C. (eds) E-business Technology and Strategy. CETS 2010. Communications in Computer and Information Science, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16397-5_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-16397-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16396-8

  • Online ISBN: 978-3-642-16397-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation