Enhancing the Security of Delayed Differential Chaotic Systems With Programmable Feedback

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 53, Issue 8, 2006, Pages 722-726

  Robilliard, C ^a   Huntington, E H ^a   Webb, J G ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Chaos; communication system security; encoding and decoding; message

Indexed keywords

ALGORITHMS; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; PROGRAMMED CONTROL SYSTEMS; SYSTEM STABILITY;

COMMUNICATION SYSTEM SECURITY; DELAYED DIFFERENTIAL CHAOTIC SYSTEMS; DELAYED DIFFERENTIAL FEEDBACK SYSTEMS; FEEDBACK DELAY TIME; PROGRAMMABLE FEEDBACK;

COMMUNICATION SYSTEMS;

EID: 33748523842     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.876405     Document Type: Article

References (24)

1. L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett., vol. 64, pp. 821–824, Feb. 1990.
2. S. Donati and C. R. Mirasso, “Introduction to the feature section on optical chaos and applications to cryptography,” IEEE J. Quantum Electron., vol. 38, no. 9, pp. 1138–1140, Sep. 2002.
3. J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron., vol. 38, no. 9, pp. 1141–1154, Sep. 2002.
4. K. M. Cuomo and A. V. Oppenheim, “Circuit implementation of synchronized chaos with applications to communications,” Phys. Rev. Lett., vol. 71, pp. 65–68, Jul. 1993.
5. G. Perez and H. Cerdeira, “Extracting messages masked by chaos,” Phys. Rev. Lett., vol. 74, pp. 1970–1973, Mar. 1995.
6. K. M. Short and A. T. Parker, “Unmasking a hyperchaotic communication scheme,” Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 58, pp. 1159–1162, Jul. 1998.
7. M. I. Sobhy, A. A. Elkouny, M. Aseeri, and N. S. Zakria, “Field programmable gate array (FPGA) as a new approach to implement the chaotic generators,” in Proc. Int. Signal Process. Conf., Mar. 2003, Paper no. 288.
8. M. Aseeri and M. I. Sobhy, “A new approach to implement chaotic generators based on field programmable gate array (FPGA),” in Proc. 3rd Int. Conf. Discrete Chaotic Dynam. Nature Soc., Tokyo, Japan, Sep. 2002.
9. J. M. Liu, H. F. Chen, and S. Tang, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron., vol. 38, no. 9, pp. 1184–1196, Sep. 2002.
10. S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Regimes of chaotic synchronization in external-cavity laser diodes,” IEEE J. Quantum Electron., vol. 38, no. 9, pp. 1155–1161, Sep. 2002.
11. J.-P. Goedgebuer, P. l. Levy, L. Larger, C.-C. Chen, and W. T. Rhodes, “Optical communication with synchronized hyperchaos generated electrooptically,” IEEE J. Quantum Electron., vol. 38, no. 9, pp. 1178–1183, Sep. 2002.
12. H. D. I. Arbanel, M. B. Kennel, L. Illing, S. Tang, H. F. Chen, and J. M. Liu, “Synchronization and communication using semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron., vol. 37, no. 10, pp. 1301–1311, Oct. 2001.
13. V. S. Udaltsov, J.-P. Goedgebuer, L. Larger, P. Levy, and W. T. Rhodes, “Communicating with optical hyperchaos: Information encryption and decryption in delayed nonlinear feedback systems,” Phys. Rev. Lett., vol. 86, pp. 1892–1895, Feb. 2001.
14. B. Dorizzi, B. Grammaticos, M. Le Berre, Y. Pomeau, E. Ressayre, and A. Tallet, “Statistics and dimension of chaos in differential delay systems,” Phys. Rev. A, Gen. Phys., vol. 35, pp. 328–339, Jan. 1987.
15. S. Tang and J. M. Liu, “Experimental verification of anticipated and retarded synchronization in chaotic semiconductor lasers,” Phys. Rev. Lett., vol. 90, p. 194101, May 2003.
16. V. S. Udaltsov, J.-P. Goedgebuer, L. Larger, J.-B. Cuenot, P. Levy, and W. T. Rhodes, “Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations,” Phys. Lett. A, vol. 308, pp. 54–60, Feb. 2003.
17. V. I. Ponomarenko and M. D. Prokhorov, “Extracting information masked by the chaotic signal of a time-delay system,” Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 66, p. 026215, Aug. 2002.
18. T. Endo and L. O. Chua, “Chaos from phase-locked loops,” IEEE Trans. Circuits Syst., vol. 35, no. 8, pp. 987–1003, Aug. 1988.
19. V. S. Udaltsov, L. Larger, J.-P. Goedgebuer, M. W. Lee, E. Genin, and W. T. Rhodes, “Bandpass chaotic dynamics of electronic oscillator operating with delayed nonlinear feedback,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 7, pp. 1006–1009, Jul. 2002.
20. W.-H. Kye, M. Choi, M.-W. Kim, S.-Y. Lee, S. Rim, C.-M. Kim, and Y.-J. Park, “Synchronization of delayed systems in the presence of delay time modulation,” Phys. Lett. A, vol. 322, pp. 338–343, Mar. 2004.
21. J. P. Goedgebuer, L. Larger, and H. Porte, “Chaos in wavelength with a feedback tunable laser diode,” Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 57, pp. 2795–2798, Mar. 1998.
22. M. W. Lee, L. Larger, and J. P. Goedgebuer, “Transmission system using chaotic delays between lightwaves,” IEEE J. Quantum Electron., vol. 39, no. 7, pp. 931–935, Jul. 2003.
23. P. Grassberger and I. Procaccia, “Measuring the strangeness of strange attractors,” Physica D, vol. 9, pp. 189–208, Oct. 1983.
24. J. D. Farmer, “Chaotic attractors of an infinite-dimensional dynamical system,” Phys. D, vol. 4, pp. 366–393, Mar. 1982.