Secure communication with chaotic systems of difference equations

IEEE Transactions on Computers

Volumn 46, Issue 1, 1997, Pages 27-38

  Papadimitriou, Stergios ^a   Bezerianos, Anastasios ^a   Bountis, Tassos ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

Chaos; Communication; Difference equation; Encryption; Large parameter space; Modulo operator

Indexed keywords

ALGORITHMS; CHAOS THEORY; COMMUNICATION CHANNELS (INFORMATION THEORY); CRYPTOGRAPHY; DIFFERENCE EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PIECEWISE LINEAR TECHNIQUES; SECURITY OF DATA; SIGNAL TO NOISE RATIO;

ENCIPHERING EFFICIENCY; LARGE PARAMETER SPACE; MODULO OPERATOR;

DIGITAL COMMUNICATION SYSTEMS;

EID: 0031377205     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.559800     Document Type: Article

References (24)

1. L.O. Chua, C.A. Desoer, and E.S. Kuh, Linear and Nonlinear Circuits. McGraw-Hill, 1987.
2. K.S. Halle, C.W. Wu, M. Itoh, and L.O. Chua, "Spread Spectrum Communication Through Modulation of Chaos," Int'l J. Bifurcation and Chaos, vol. 3, no. 2, pp. 469-477, 1993.
3. U. Parlitz, L.O. Chua, Lj. Kocarev, K.S. Halle, and A. Shang, "Transmission of Digital Signals by Chaotic Synchronization," Int'l J. Bifurcation and Chaos, vol. 2, no. 4, pp. 973-977, 1992.
4. T.S. Parker and L.O. Chua, Practical Numerical Algorithms for Chaotic Systems. Springer-Verlag, 1989.
5. K. Murali and M. Lakshmanan, "Synchronizing Chaos in Driven Chua's Circuit," Int'l J. Bifurcation and Chaos, vol. 3, no. 4, pp. 1,057-1,066, 1993.
6. A. Rodriguiez-Vazquez and M. Delgado-Restituto, "Generation of Chaotic Signals Using Current-Mode Techniques," J. Intelligent and Fuzzy Systems, vol. 2, pp. 15-31, 1994.
7. T.L. Carrol and L.M. Pecora, "Cascading Synchronized Chaotic Systems," Physica D, 67, pp. 126-140, 1993.
8. D. Gulick, Encounters with Chaos. McGraw-Hill, 1992.
9. L.M. Pecora and T.L. Carrol, "Synchronization of Chaotic Systems," Physical Review Letters, vol. 64, no. 8, pp. 821-823, 1990.
10. M.Y. Rhee, Cryptography and Secure Communications. McGraw-Hill, 1994.
11. A.A. Tsonis, Chaos: From Theory to Applications. Plenum Press, 1992.
12. E. Ott, Chaos in Dynamical Systems Cambridge Univ. Press, 1993.
13. M. De Sousa Vieira, P. Khoury, A.J. Lichtenberg, M.A. Lieberman, and W. Wonchoba, "Numerical and Experimental Studies of Self-Synchronization and Synchronized Chaos," Int'l J. Bifurcation and Chaos, vol. 2, no. 3, pp. 645-657, 1993.
14. B. Schneier, "The IDEA Encryption Algorithm," Dr. Dobb's J., pp. 50-56, Dec. 1993.
15. E.E. Peters, Fractal Market Analysis. John Wiley & Sons, 1994.
16. K.M. Cuomo and A.V. Oppenheim, "Circuit Implementation of Synchronized Chaos with Applications to Communication," Physical Review Letters 71, pp. 65-68, 1993.
17. K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz, "Synchronization of Lorenz-Based Chaotic Circuits with Applications to Communications," IEEE Trans. Circuits and Systems, vol. 40, pp. 626-633, 1993.
18. K. Murali and M. Lakshmanan, "Transmission of Signals by Synchronization in a Chaotic Van der Pol-Duffing Oscillator," Physical Review E 48, R1624-R1626, 1993.
19. K. Murali and M. Lakshmanan, "Drive-Response Scenario of Chaos Synchronization in Identical Nonlinear Systems," Physical Review E 49, pp. 4,882-4,885, 1994.
20. U. Parlitz and S. Ergezinger, "Robust Communication Based on Chaotic Spreading Sequences," Physics Letters A 188, pp. 146-150, 1994.
21. T.L. Carroll, "Communicating with Use of Filtered Synchronized Chaotic Signals," IEEE Trans. Circuits and Systems I, vol. 42, pp. 105-110, 1995.
22. N. Gershenfeld and G. Grinstein, "Entrainment and Communication with Dissipative Pseudorandom Dynamics," Physical Review Letters, vol. 74, p. 5,024, 1995.
23. S. Haykin, Neural Networks MacMillan College Publishing Company, 1994.
24. S. Papadimitriou, G. Pavlides, A. Bezerianos, and T. Bountis, "Chaotic Systems of Difference Equations for Real-Time Encryption," Proc. 1995 IEEE Workshop Nonlinear Signal and Image Processing, pp. 145-149, June 20-22, 1995.