|4/2015 - 8|
Output Choice of a Chaotic Jerk Circuit Used as Transmitter in Data Secure CommunicationsDATCU, O. , STANCIU, M. , TAULEIGNE, R. , BURILEANU, C. , BARBOT, J.-P.
|Click to see author's profile on SCOPUS, IEEE Xplore, Web of Science|
|Download PDF (1,130 KB) | Citation | Downloads: 219 | Views: 894|
chaotic communication, nonlinear dynamical systems, observers, signals analysis, sliding mode control
chaotic(11), chaos(11), systems(9), cryptography(5), circuits(5), system(4), review(4), physical(4), control(4), barbot(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2015-11-30
Volume 15, Issue 4, Year 2015, On page(s): 63 - 68
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2015.04008
Web of Science Accession Number: 000368499800008
SCOPUS ID: 84949960782
Usually, when analyzing a data series, dynamical systems theory is used to reconstruct the state space of the original system. This work aims to determine which of a chaotic system's states is best suited as output when transmitting secret messages. This is the first step prior to designing an actual communication scheme. As an example, the three states of Sprott's jerk circuit are analyzed in terms of the local observability they ensure for the original dynamics when transmitted as a scalar data series. Results show that its first two states enable accurate estimation of the transmitter's dynamics at the receiving end. However, its third state generates, in some regions of the state space, a non-invertible transformation between the original state space and the one the receiver sees. This is due to the exponential nonlinearities present in this state's derivatives. Given that these nonlinearities remain inaccessible to the receiver, they are neglected in order to allow the partial reconstruction of the dynamics of the transmitter. But, since these nonlinearities are essential for the chaotic behavior, this makes the third state unusable for cryptographic purposes. This analysis may be applied to any bipolar junction transistor or diode based chaotic circuit.
|References|||||Cited By «-- Click to see who has cited this paper|
| L. Kocarev, "Chaos-based cryptography: a brief overview", Circuits and Systems Magazine, IEEE 1 (3), 6-21. Inst. for Nonlinear Sci., California Univ., San Diego, La Jolla, 09/2002. |
[CrossRef] [SCOPUS Times Cited 431]
 G. Jakimoski, L. Kocarev, "Chaos and Cryptography: Block Encryption Ciphers Based on Chaotic Maps", IEEE Transactions On Circuits And SystemsI: Fundamental Theory And Applications, Vol. 48, No. 2, February 2001.
[CrossRef] [Web of Science Times Cited 283] [SCOPUS Times Cited 341]
 C. Pellicer-Lostao, R. Lopez-Ruiz, "Notions of Chaotic Cryptography: Sketch of a Chaos Based Cryptosystem", Chapter 12 from Applied Cryptography and Network Security, edited by Jaydip Sen, ISBN 978-953-51-0218-2, Published: March 14, 2012 under CC BY 3.0 license,
 R. L. Devaney, "An introduction to Chaotic Dynamical Systems", Perseus Books (Second Ed. 1989).
 V. Grigoras, C. Grigoras, "A Novel Chaotic System for Random Pulse Generation", Advances in Electrical and Computer Engineering: AECE, Vol. 14, Issue: 2, 2014, ISSN: 1582-7445, eISSN: 1844-7600.
[CrossRef] [Full Text] [Web of Science Times Cited 1] [SCOPUS Times Cited 2]
 S. Vlad, S-Gh. Pentiuc, "Searching of Chaotic Elements in Hydrology", Journal of Applied Computer Science & Mathematics, no. 16 (32), 2014, Suceava.
 S. Vlad, P. Pascu, N. Morariu, "Chaos Models in Economics", Journal of Computing, Vol. 2, Issue 1, January 2010, ISSN 2151-9617, pp. 79-83.
 G. Mahalu, A. Graur, "The Fractal Techniques Applied in Pattern Recognition", The Eighth All-Ukrainian International Conference, Ukrobrez'2006, 28-31 August, 2006, Kyjiv, Ukraine, ISSB/ISBN: ISBN 966-02-4096-1, pp. 35-38, (2006).
 S. Pohoata, O. German, A. Graur, "Dual tasking: gait and tremor in Parkinson's disease - acquisition, processing and clustering", Rev. Roum. Sci. Techn. - Électrotechn. et Énerg., 58, 3, p. 324-334, Bucharest, 2013.
 G. Alvarez, S. Li, "Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems", International Journal of Bifurcation and Chaos, vol. 16, no. 8, pp. 2129-2151, 2006.
[CrossRef] [Web of Science Times Cited 398] [SCOPUS Times Cited 523]
 G. Jakimoski, L. Kocarev, "Analysis of some recently proposed chaos-based encryption algorithms", Physics Letters A 291 (2001) 381-384, 17 December 2001.
[CrossRef] [Web of Science Times Cited 99] [SCOPUS Times Cited 121]
 G. Alvarez, J.- M. Amigo, D. Arroyo, S. Li, "Lessons learnt from the cryptanalysis of chaos-based ciphers", Chapter 8, Chaos-Based Cryptography: Theory, Algorithms and Applications, pp. 257-295, Springer-Verlag GmbH, 2011.
[CrossRef] [SCOPUS Times Cited 24]
 J. C. Sprott, "A new chaotic jerk circuit", J. C. IEEE Transactions on Circuits and Systems-II: Express Briefs 58, 240-243, 2011.
[CrossRef] [Web of Science Times Cited 38] [SCOPUS Times Cited 40]
 Z. Fu and J. Heidel, "Non-chaotic behaviour in three-dimensional quadratic systems", Nonlinearity 10 (1997) 1289-1303, Printed in the UK, PII: S0951-7715(97)78288-4.
[CrossRef] [Web of Science Times Cited 42] [SCOPUS Times Cited 38]
 B. Mumuangsaen, B. Srisuchinwong, J.C. Sprott (2011), "Generalization of the Simplest Autonomous Chaotic System", Physics Letters A, Vol. 375, No. 12, March, pp. 1445-1450.
[CrossRef] [Web of Science Times Cited 22] [SCOPUS Times Cited 25]
 A. Wolf, J. B. Swift, H. L. Swinney, J. A. Vastano, "Determining Lyapunov exponents from a time series", Physica D, Vol. 16, pp. 285-317, 1985.
[CrossRef] [Web of Science Times Cited 4705] [SCOPUS Times Cited 4156]
 H.-T. Yau, Y.-C. Pu, S. Cimin Li, "Application of a Chaotic Synchronization System to Secure Communication", ISSN 1392 - 124 X Information Technology And Control, 2012, Vol.41, No.3.
 D. I. R. Almeida, J. Alvarez, J. G. Barajas, "Robust synchronization of Sprott circuits using sliding mode control", Chaos, Solitons and Fractals Vol. 30(1), 2006, 11-18.
[CrossRef] [Web of Science Times Cited 33] [SCOPUS Times Cited 48]
 A. Levant, "Robust exact differentiation via sliding mode technique", Automatica, vol. 34, no. 3, pp. 379-384, 1998.
 N. H. Packard, J. P. Crutchfield, J. D. Farmer, R. S. Shaw, "Geometry from a time series", Physical Review Letters, 45 (25), pp.712-716, 1980.
[CrossRef] [Web of Science Times Cited 2316] [SCOPUS Times Cited 2401]
 G. Gouesbet, "Reconstruction of Standard and Inverse Vector Fields Equivalent to a Rössler system", Physical Review A, 44 (26), pp. 6264-6280, 1991.
[CrossRef] [Web of Science Times Cited 25] [SCOPUS Times Cited 26]
 G. B. Mindlin, H. G. Solari, M. A. Natiello, R. Gilmore, X. J. Hou, "Topological Analysis of Chaotic Time Series Data from the Belousov-Zhabotinski", Journal of Nonlinear Sciences, 1, pp. 147-173, 1991.
[CrossRef] [SCOPUS Times Cited 106]
 C. Letellier, L. A. Aguirre and J. Maquet, "How the choice of the observable may influence the analysis of non linear dynamical systems", Communications in Nonlinear Science and Numerical Simulation, Vol. 11 (5), 555-576, 2006.
[CrossRef] [SCOPUS Times Cited 18]
 C. Letellier and L. A. Aguirre, "Interplay between synchronization, observability, and dynamics", Physical Review E, Vol. 82, 016204, 2010.
[CrossRef] [Web of Science Times Cited 21] [SCOPUS Times Cited 22]
 M. Demazure, "Catastrophes et Bifurcations", Ellipse, Paris, 1989.
 R. Hermann and A. Krener, "Nonlinear controllability and observ-ability", IEEE Transactions on Automatic Control, vol. 22, no. 5, pp.728-740, 1977.
[CrossRef] [Web of Science Times Cited 875] [SCOPUS Times Cited 1085]
 A. Trautman, "Remarks on the history of the notion of Lie differentiation", Variations, Geometry and Physics in honour of Demeter Krupkas sixty-fifth birthday O. Krupkova and D. J. Saunders (Editors) Nova Science Publishers, pp. 297-302, 2008.
 M. Frunzete, J.-P. Barbot, and C. Letellier, "Influence of the singular manifold of observable states in reconstructing chaotic attractors", Physical Review E, vol. 86, 2012. PMid:23005843
 J.-P. Barbot, D. Boutat, and T. Floquet, "An observation algorithm for nonlinear systems with unknown inputs", Automatica, vol. 45, no. 8, pp.1970-1974, 2009.
[CrossRef] [Web of Science Times Cited 24] [SCOPUS Times Cited 32]
 H. Hamiche, M. Ghanes, J. P. Barbot, K. Kemih, S. Djennoune, "Hybrid dynamical systems for private digital communication", International Journal of Modelling Identification and Control 01/2013; 20(2):99-113.
[CrossRef] [SCOPUS Times Cited 8]
 T. Boukhobza and J-P Barbot, "High Order Sliding Modes Observer", Proceeding of the 37th IEEE CDC, Tampa USA, pp. 1912-1917, 1998. [Online]
 R. Tauleigne, O. Datcu, and M. Stanciu, "Thwarting cryptanalytic attacks based on the correlation function", The 10th International Conference on Communications (COMM 2014), Bucharest, May 2014.
[CrossRef] [SCOPUS Times Cited 2]
 M. P. Kennedy, "Chaos in the Colpitts oscillator", IEEE Transactions On Circuits and Systems - 1 CAS, 41 (27):771-774, 1994.
[CrossRef] [Web of Science Times Cited 214] [SCOPUS Times Cited 231]
Web of Science® Citations for all references: 9,096 TCR
SCOPUS® Citations for all references: 9,680 TCR
Web of Science® Average Citations per reference: 268 ACR
SCOPUS® Average Citations per reference: 285 ACR
TCR = Total Citations for References / ACR = Average Citations per Reference
We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more
Citations for references updated on 2017-08-14 22:16 in 163 seconds.
Note1: Web of Science® is a registered trademark of Thomson Reuters.
Note2: SCOPUS® is a registered trademark of Elsevier B.V.
Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.