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Adaptive Synchronization of Chaotic Systems and Its Uses in Cryptanalysis

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Recent Advances in Nonlinear Dynamics and Synchronization

Part of the book series: Studies in Computational Intelligence ((SCI,volume 254))

Abstract

This chapter discusses adaptive synchronization of a class of chaotic systems based on a new design of adaptive observer. The design is relied on a linear feedback control scheme and the dynamical minimization algorithm. A linear feedback signal is designed to drive the state estimation errors to zero, while the parametric updating rules are obtained with the dynamical minimization algorithm so that parameter estimation can be achieved at the same time. The success of this approach is illustrated by tackling with some typical synchronization problems found in chaotic systems, where its stability is justified by conditional Lyapunov exponents and local Lyapunov function method. The same design also serves as an effective attack, performing the cryptanalysis for chaos-based communication systems. As demonstrated with our simulation results, the securities of many proposed chaos-based cryptosystems are in fact questionable as the information of their transmitters, including the states and/or system parameters, as well as the transmitting messages, may be revealed by simply observing the transmitted signal.

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Authors and Affiliations

  1. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    Ying Liu & Wallace Kit-Sang Tang

Authors
  1. Ying Liu
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  2. Wallace Kit-Sang Tang
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Editor information

Editors and Affiliations

  1. Institute for Smart-Systems Technologies, Alpen-Adria Universität Klagenfurt , Universitätsstraße 65-67, 9020, Klagenfurt, Austria

    Kyandoghere Kyamakya  & Jean Chamberlain Chedjou  & 

  2. Lehrgebiet Informationstechnik, FernUniversität in Hagen , Universitätsstraße 27 - PRG, 58097, Hagen, Germany

    Wolfgang A. Halang  & Zhong Li  & 

  3. Lehrgebiet Kommunikationsnetze, FernUniversität in Hagen , Universitätsstraße 27 - PRG, 58097, Hagen, Germany

    Herwig Unger

  4. Institute for Nonlinear Science, University of California, San Diego , 9500 Gilman Drive, 92093-0402, La Jolla, CA, USA

    Nikolai F. Rulkov

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© 2009 Springer-Verlag Berlin Heidelberg

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Liu, Y., Tang, W.KS. (2009). Adaptive Synchronization of Chaotic Systems and Its Uses in Cryptanalysis. In: Kyamakya, K., Halang, W.A., Unger, H., Chedjou, J.C., Rulkov, N.F., Li, Z. (eds) Recent Advances in Nonlinear Dynamics and Synchronization. Studies in Computational Intelligence, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04227-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-04227-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04226-3

  • Online ISBN: 978-3-642-04227-0

  • eBook Packages: EngineeringEngineering (R0)

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