A qualitative analysis of deciphering errors in chaos shift keying

International Journal of Bifurcation and Chaos

Volumn 19, Issue 6, 2009, Pages 2085-2092

  Manjunath, G ^a   Fournier Prunaret, D ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Chaos based cryptography; Chaos shift keying; Topological dynamics

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL TECHNIQUES;

CHAOS-BASED CRYPTOGRAPHY; CHAOS-SHIFT KEYING; CIPHERTEXTS; QUALITATIVE ANALYSIS; TOPOLOGICAL DYNAMICS;

TOPOLOGY;

EID: 70149096066     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127409023925     Document Type: Article

References (21)

1. Auslander, J. [1988] Minimal Flows and Their Extensions, North-Holland Mathematics Studies, Vol.153 (North-Holland, Amsterdam).
2. Bel'skii, Y. L. & Dmitriev, A. S. [1993] "Information transmission using deterministic chaos," Radiotekh-nika i elektronika 38, 1310-1315 (in Russian).
3. Block, L. S. & Coppel, W. A. [1992] Dynamics in One Dimension, Lecture Notes in Mathematics, Vol.1513 (Springer-Verlag, NY).
4. Dedieu, H., Kennedy, M. P. & Hasler, M. [1993] "Chaos shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing cuits," IEEE Trans. Circ. Syst. Part II 40, 634-642.
5. Ellis, R. [1958] "Distal transformation groups," Pacif. J. Math. 8, 401-405.
6. Glasner, E. & Weiss, B. [1993] "Sensitive dependence on initial conditions," Nonlinearity 6, 1067-1075.
7. Glasner, E. & Weiss, B. [2006] "On the interplay between measurable and topological dynamics," Handbook of Dynamical Systems, Vol.1B, eds. Hasselblatt, B. & Katok, A. (Elsevier, Amsterdam), pp. 597-648.
8. Hasler, M. [1998] "Synchronization of chaotic systems and transmission of information," Int. J. Bifurcation and Chaos 8, 647-659. (Pubitemid 128341688)
9. Kannan, V. & Nagar, A. [2002] "Spaces admitting topo-logically transitive maps," Topol. Proc. 297-306.
10. Kapitaniak, T., Sekieta, M. & Ogorzalek, M. [1996] "Monotone synchronization of chaos," Int. J. Bifurcation and Chaos 6, 211-217.
11. Kocarev, L., Halle, K. S., Eckert, K. & Chua, L. O. [1992] "Experimental demonstration of secure communication via chaotic synchronization," Int. J. Bifurcation and Chaos 2, 709-713.
12. Lasota, A. & Mackey, M. C. [1994] Chaos, Fractals and Noise: Stochastic Aspects of Dynamics (Springer-Verlag, NY).
13. Lau, F. C. M. & Tse, C. K. [2003] Chaos-Based Digital Communication Systems (Springer-Verlag, NY).
14. Li, T. Y. & Yorke, J. A. [1975] "Period three implies chaos," Amer. Math. Monthly 82, 985-992.
15. López, V. J. & Snoha, L. [2003] "Stroboscopical property in topological dynamics," Top. Appl. 129, 301-316.
16. Maistrenko, Y. L., Popovych, O. & Hasler, M. [2000] "On strong and weak chaotic partial synchronization," Int. J. Bifurcation and Chaos 10, 179-203.
17. Pecora, L. M. & Caroll, L. M. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
18. Rudin, W. [1966] Real and Complex Analysis (McGraw-Hill, NY).
19. Taborov, A. V., Maistrenko, Y. L. & Mosekilde, E. [2000] "Partial synchronization in a system of coupled logistic maps," Int. J. Bifurcation and Chaos 8, 1051-1066.
20. Walters, P. [1981] Introduction to Ergodic Theory (Springer, NY).
21. Yamada, T. & Fujisaka, H. [1983] "Stability theory of synchronized motion in coupled-oscillator systems," Prog. Theor. Phys. 69, 32-47.