Publikation:

A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis

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CNSNS2010.pdf
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2010

Autor:innen

Orue, Amalia Beatriz
Alvarez, Gonzalo
Pastor, Gerardo
Romera, Miguel
Montoya, Fausto

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-126527
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https://doi.org/10.1016/j.cnsns.2009.12.017
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Communications in Nonlinear Science and Numerical Simulation. 2010, 15(11), pp. 3471-3483. Available under: doi: 10.1016/j.cnsns.2009.12.017

Zusammenfassung

This paper describes a method about how to determine parameters of some double-scroll chaotic systems, including the Lorenz system and the Chua s circuit, from one of its variables. The geometric properties of the system are exploited firstly to reduce the parameter search space. Then, a synchronization-based approach, with the help of the same geometric properties as coincidence criteria, is implemented to determine the parameter values with the wanted accuracy. The method is not affected by a moderate amount of noise in the waveform. As an example of its effectiveness, the method is applied to cryptanalyze two two-channel chaotic cryptosystems, figuring out how the secret keys can be directly derived from the driving signal z(t).

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Fachgebiet (DDC)
004 Informatik

Schlagwörter

Chaos-based cryptography, Lorenz s attractor, Chua s attractor, Cryptanalysis, Parameter determination, Projective chaos synchronization

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ISO 690ORUE, Amalia Beatriz, Gonzalo ALVAREZ, Gerardo PASTOR, Miguel ROMERA, Fausto MONTOYA, Shujun LI, 2010. A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis. In: Communications in Nonlinear Science and Numerical Simulation. 2010, 15(11), pp. 3471-3483. Available under: doi: 10.1016/j.cnsns.2009.12.017
BibTex
@article{Orue2010param-5964,
  year={2010},
  doi={10.1016/j.cnsns.2009.12.017},
  title={A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis},
  number={11},
  volume={15},
  journal={Communications in Nonlinear Science and Numerical Simulation},
  pages={3471--3483},
  author={Orue, Amalia Beatriz and Alvarez, Gonzalo and Pastor, Gerardo and Romera, Miguel and Montoya, Fausto and Li, Shujun}
}
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