Designing a coupling that guarantees synchronization between identical chaotic systems

Physical Review Letters

Volumn 78, Issue 22, 1997, Pages 4189-4192

  Brown, Reggie ^a   Rulkov, Nikolai F ^b  

^a William and Mary   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001206783     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.78.4189     Document Type: Article

References (24)

1. H. Fujisaka and T. Yamada: Prog. Theor. Phys., 69, 32 (1983).
2. L. M. Pecora and T. L. Carroll: Phys. Rev. Lett., 64, 821 (1990) PRLTAO.
3. L. M. Pecora and T. L. Carroll: Phys. Rev. A, 44, 2374 (1991) PLRAAN.
4. R. Brown, N. F. Rulkov and N. B. Tufillaro: Phys. Rev. E, 50, 4488 (1994).
5. L. M. Pecora, in Chaos in Communications, SPIE Proceedings Vol. 2038 (SPIE–The International Society for Optical Engineering, Bellingham, WA, 1993), pp. 2–25.
6. J. F. Heagy, T. L. Carroll and L. M. Pecora: Phys. Rev. E, 50, 1874 (1994).
7. U. Feldmann, Ph.D. dissertation, Faculty of Electrical Engineering, Technical University of Dresden, 1995.
8. M. M. Sushchik, Ph.D. dissertation, Physics Faculty, University of California, San Diego, 1996.
9. M. de Sousa Vieira, A. L. Lichtenberg and M. A. Lieberman: Phys. Rev. A, 46, R7359 (1992).
10. D. J. Gauthier and J. C. Bienfang: Phys. Rev. Lett., 77, 1751 (1996).
11. R. He and P. G. Vaidya: Phys. Rev. A, 46, 7387 (1992).
12. H. M. Rodrigues, Georgia Institute of Technology Report No. CDSNS94-160.
13. N. F. Rulkov et al: Int. J. Bifurcation Chaos Appl. Sci. Eng., 2, 669 (1992).
14. C. W. Wu and L. O. Chua: Int. J. Bifurcation Chaos Appl. Sci. Eng., 4, 979 (1994).
15. P. Ashwin, J. Buescu and I. Stewart: Phys. Lett. A, 193, 126 (1994) PYLAAG.
16. P. Ashwin, J. Buescu and I. Stewart: Nonlinearity, 9, 703 (1996) NONLE5.
17. D. M. Walker and A. I. Mees, CADO, University of Western Australia.
18. R. Brown and N. F. Rulkov, “Synchronization of Chaotic Systems: Transverse Stability of Trajectories in Invariant Manifolds”, Chaos (to be published).
19. N. Gupte and R. E. Amritkar: Phys. Rev. E, 48, R1620 (1993).
20. E. Ott and J. C. Sommerer: Phys. Lett. A, 188, 39 (1994).
21. B. R. Hunt and E. Ott: Phys. Rev. Lett., 76, 2254 (1996).
22. E. D. Sontag, Mathematical Control Theory (Springer-Verlag, New York, 1990).
23. W. L. Brogan, Modern Control Theory (Prentice Hall, New Jersey, 1991), 3rd ed.
24. M.-Z. Ding and E. Ott: Phys. Rev. E, 49, R945 (1994).