Secure Communication with Chaos Synchronization

Handbook of Chaos Control: Second Edition

Volumn , Issue , 2008, Pages 301-324

  Kinzel, Wolfgang ^a   Kanter, Ido ^b  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b BAR ILAN UNIVERSITY   (Israel)

Author keywords

Chaos synchronization; Chaotic signals; Coding secret messages; Communicating with chaos; Decoding secret messages; Exchanged signal; Mutual synchronization; Neural cryptography; Public key exchange

Indexed keywords

EID: 76149124660     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527622313.ch14     Document Type: Chapter

References (40)

1. H.G. Schuster and W. Just. Deterministic Chaos. Wiley-VCH, Weinheim, 2005.
2. L.M. Pecora and T. L. Carroll. Synchronization in chaotic systems. Phys. Rev. Lett., 64(8):821-824, 1990.
3. K.M. Cuomo and A.V. Oppenheim. Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett., 71(1):65-68, 1993.
4. U. Parlitz, L. Chua, L. Kocarev, K. Halle, and A. Shang. aha. Int. J. Bif. Chaos, 2:973, 1992.
5. G. D. VanWiggeren and R. Roy. Communication with chaotic lasers. Science, 279:1198-1200, 1998.
6. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore. Chaos-based communications at high bit rates using commercial fibre-optic links. Nature, 438:343, 2005.
7. R. Lang and K. Kobayashi. External optical feedback effects on semiconductor injection laser properties. IEEE J. Quant. Electr., 16(3):347-355, 1980.
8. V. Ahlers, U. Parlitz, and W. Lauterborn. Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers. Phys. Rev. E, 58(6):7208-7213, 1998.
9. A. Pikovsky, M. Rosenblum, and J. Kurths. Synchronization, a universal concept in nonlinear sciences. Cambridge University Press, Cambridge, 2001.
10. T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso. Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers. Phys. Rev. Lett., 86(5):795-798, 2001.
11. J. Kestler, W. Kinzel, and I. Kanter. To be published, 2007.
12. H. Kantz and T. Schreiber. Nonlinear Time Series Analysis. Cambridge University Press, Cambridge, 2004.
13. D.R. Stinson. Cryptography: Theory and Practice. CRC Press, Boca Raton, FL, 1995.
14. I. Kanter, W. Kinzel, and E. Kanter. Secure exchange of information by synchronization of neural networks. Europhys. Lett., 57(1):141-147, 2002.
15. R. Tenny, L.S. Tsimring, L. Larson, and H.D.I. Abarbanel. Using distributed nonlinear dynamics for public key encryption. Phys. Rev. Lett., 90(4):047903, 2003.
16. E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter. Public-channel cryptography based on mutual chaos pass filters. Phys. Rev. E, 1-4, 2006.
17. J.H. Peng, E. J. Ding, M. Ding, and W. Yang. Synchronizing hyperchaos with a scalar transmitted signal. Phys. Rev. Lett., 76(6):904-907, 1996.
18. K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans. Circ. Syst., 40(10):626-633, 1993.
19. L. Kocarev and U. Parlitz. General approach for chaotic synchronization with applications to communication. Phys. Rev. Lett., 74(25):5028-5031, 1995.
20. I. Fischer, Y. Liu, and P. Davis. Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication. Phys. Rev. A, 62:011801, 2000.
21. R. Vicente, T. Pérez, and C. R. Mirasso. Open-versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers. IEEE J. Quant. Electr., 38(9):1197-1204, 2002.
22. H.U. Voss. Anticipating chaotic synchronization. Phys. Rev. E, 61(5):5115-5119, 2000.
23. S. Lepri, G. Giacomelli, A. Politi, and F.T. Arecchi. High-dimensional chaos in delayed dynamical systems. Physica D, 235-249, 1993.
24. A. Murakami and K. A. Shore. Chaospass filtering in injection-locked semiconductor lasers. Phys. Rev. A, 72:053810, 2005.
25. T. Heil, J. Mulet, I. Fischer, C.R. Mirasso, M. Peil, P. Colet, and W. Elsässer. On/off phase shift keying for chaos-encrypted communication using externalcavity semiconductor lasers. IEEE J. Quant. Electr., 38(9):1162-1170, 2002.
26. C. R. Mirasso, R. Vicente, P. Colet, J. Mulet, and T. Pérez. Synchronization properties of chaotic semiconductor lasers and applications to encryption. Compt. Rend. Phys., 5:613-622, 2004.
27. G. Pérez and H.A. Cerdeira. Extracting messages masked by chaos. Phys. Rev. Lett., 74(11):1970-1973, 1995.
28. P.M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg Jr. Encoding and decoding messages with chaotic lasers. Phys. Rev. E, 56(6):6302-6310, 1997.
29. K.M. Short and A.T. Parker. Unmasking a hyperchaotic communication scheme. Phys. Rev. E, 58(1):1159-1162, 1998.
30. R. Hegger, M. J. Bünner, and H. Kantz. Identifying and modeling delay feedback systems. Phys. Rev. Lett., 81(3):558-561, 1998.
31. C. Zhou and C.-H. Lai. Extracting messages masked by chaotic signals of timedelay systems. Phys. Rev. E, 60(1):320-323, 1999.
32. J. B. Geddes, K.M. Short, and K. Black. Extraction of signals from chaotic laser data. Phys. Rev. Lett., 83(25):5389-5392, 1999.
33. U. Parlitz. Estimating model parameters from time series by autosynchronization. Phys. Rev. Lett., 76(8):1232-1235, 1996.
34. A. Ruttor, W. Kinzel, and I. Kanter. Neural cryptography with queries. J. Stat. Mech., 2005(01):P01009, 2005.
35. M. Rosen-Zvi, E. Klein, I. Kanter, and W. Kinzel. Mutual learning in a tree parity machine and its application to cryptography. Phys. Rev. E, 66:066135, 2003.
36. M. Volkmer and S. Wallner. Tree parity machine rekeying architectures. IEEE Trans. Comput., 54(4):421-427, 2005.
37. E. Klein, R. Mislovaty, I. Kanter, and W. Kinzel. Public-channel cryptography using chaos synchronization. Phys. Rev. E, 72:016214, 2005.
38. J. N. Tsitsiklis and V. D. Blondel. Lyapunov exponents of pairs of matrices. Math. Control, Signals Syst., 10(1):31-40, 1997.
39. P. Jacquet, G. Seroussi, and W. Szpankowski. Data Compression Conference. DCC 2004, 2004.
40. A. Ruttor, W. Kinzel and I. Kanter. Dynamics of neural cryptography. Phys. Rev. E, 75:056104, 2007.