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Intelligent Data analysis and its Applications, Volume I pp 267–275Cite as

Comparisons of Typical Discrete Logistic Map and Henon Map

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 297))

Abstract

Applying chaos theory to the encryption scheme has become a hot spot. Although lots of chaotic maps have been proposed, they don’t have advantages in all respects. In this paper, the typical one-dimensional Logistic map and two-dimensional Henon map are studied. The digital output sequences of Logistic map and Henon map can be generated by building their models on DSP Builder platform. And the sequences are tested and compared according to the statistical properties, including balance test, run test and autocorrelation test. Meanwhile, run the transformed VHDL projects in Quartus II environment to compare these two kinds of resource utilizations. The results show that digital Henon sequences have better pseudo-randomness, but Logistic project uses less hardware resources.

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Author information

Authors and Affiliations

  1. Electronic Engineering College, Heilongjiang University, Harbin, China

    Bingbing Song & Qun Ding

Authors
  1. Bingbing Song
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  2. Qun Ding
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Corresponding author

Correspondence to Bingbing Song .

Editor information

Editors and Affiliations

  1. National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan

    Jeng-Shyang Pan

  2. Department of Computer Science Faculty of Elec. Eng. & Comp. Sci., VSB-Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Vaclav Snasel

  3. Departamento de Informáca y Automática, Facultad de Biología, University of Salamanca, Salamanca, Spain

    Emilio S. Corchado

  4. Scientific Network for Innovation and Research Excellence, Machine Intelligence Research Labs (MIR Labs), Auburn, Washington, USA

    Ajith Abraham

  5. Department of Information Management, National University of Kaohsiung, Kaohsiung, Taiwan

    Shyue-Liang Wang

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© 2014 Springer International Publishing Switzerland

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Cite this paper

Song, B., Ding, Q. (2014). Comparisons of Typical Discrete Logistic Map and Henon Map. In: Pan, JS., Snasel, V., Corchado, E., Abraham, A., Wang, SL. (eds) Intelligent Data analysis and its Applications, Volume I. Advances in Intelligent Systems and Computing, vol 297. Springer, Cham. https://doi.org/10.1007/978-3-319-07776-5_28

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  • DOI: https://doi.org/10.1007/978-3-319-07776-5_28

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07775-8

  • Online ISBN: 978-3-319-07776-5

  • eBook Packages: EngineeringEngineering (R0)

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