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New Construction of a Chaotic Generator on the Lorenz Attractor | ||
| Journal of University of Anbar for Pure Science | ||
| Article 20, Volume 6, Issue 2, 2012, Pages 79-84 PDF (754.54 K) | ||
| DOI: 10.37652/juaps.2012.63243 | ||
| Authors | ||
| Abdallah M1; Mohamed Sadek Ali-Pacha2; Naima Hadj-Said2; Adda Ali-Pacha2 | ||
| 1Institute of Telecommunications Evry- France | ||
| 2University of Sciences and Technology of Oran USTO, ALGERIA | ||
| Abstract | ||
| it be known that the chaotic phenomena can be obtained from relatively simple systems that are governed by a small number of variables. The system will then be deterministic, although its behaviour is unforeseeable. The chaotic generator hereby suggested is implemented under the 7.0 version of MATLAB software. It makes use exclusively, of the fundamental properties of chaotic systems; that are sensitivity to initial conditions and equations of strange attractor. All is done in order to set up systems with protected transmissions. As a matter of fact and in the long term, the unforeseeable behaviour of such systems is very much related to the extreme sensitivity of initials conditions. Another fundamental property is that the chaotic system is characterized by a strange attractor, within the space of state. | ||
| Keywords | ||
| Cryptography; Chaos; stream cipher; Attractor; generator; Lorenz; Ali; Pacha | ||
| References | ||
|
[1] J. Gleick(1989), ‘chaos theory’, Albin Michel 1989.
[2] S. H. Strogatz (1994), “Nonlinear Systems and Chaos”, Perseus publishing 1994.
[3] B. Schneier (1996),'' Applied Cryptography-Protocols, Algorithms and Source Code in C'', John Wiley & Sounds, Inc, New York, Second Edition, 1996.
[4] A. Ali-Pacha A, N. Hadj-Said, B. Belmekki, A. Belghoraf, «Chaotic Behaviour for the Secrete key of Cryptographic System», Chaos, Solitons& Fractals Journal , Volume 23/5 pp. 1549-1552. Available online. October 2004.
[5] Robert L. Devaney (2004), “Differential Equations, Dynamical Systems, and an Introduction to Chaos”, Elsevier Academic Press, 2004.
[6] R. Chalabi, H. Hakim (2006), "Study and Implementation of Chaotic Attractor for their Applications to Cryptography" PFE - USTO 2006.
[7] A. Ali-Pacha, N. Hadj-Said, A. M”Hamed, A. Belghoraf,(2007) «Lorenz’s Attractor Applied to the Stream Cipher (Ali-Pacha Generator)», Chaos, Solitons& Fractals Journal , Volume 33/5 pp.1762-1766. August 2007. | ||
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