Anticipating chaotic synchronization

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 5, 2000, Pages 5115-5119

  Voss, Henning U ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

SYNCHRONIZATION; TIME DELAY;

ANTICIPATING SYNCHRONIZATION; CHAOTIC SYNCHRONIZATION; DELAYED FEEDBACK; DRIVEN SYSTEM; IDENTICAL SYSTEMS; MEMORY TERM; TIME-DELAYED FEEDBACK;

CHAOTIC SYSTEMS;

EID: 0001399571     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5115     Document Type: Article

References (28)

1. M. C. Mackey and L. Glass, Science 197, 287 (1977).
2. J. D. Farmer, Physica D 4, 366 (1982).
3. B. Dorizzi, Phys. Rev. A 35, 328 (1987).
4. K. Ikeda and K. Matsumoto, Physica D 29, 223 (1987).
5. K. Pyragas, Phys. Rev. E 58, 3067 (1998).
6. L. M. Pecora, Chaos 7, 520 (1997).
7. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 795 (1986).
8. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
9. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, New York, 1990).
10. K. Ikeda, H. Daido, and O. Akimoto, Phys. Rev. Lett. 45, 709 (1980).
11. I. Györy and G. Ladas, Oscillation Theory of Delay Differential Equations (Clarendon Press, Oxford, 1991)
12. K. Gopalsami, Stability and Oscillations in Delay Differential Equations of Population Dynamics (Kluwer, Dordrecht, 1992)
13. J. K. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equations (Springer, New York, 1993)
14. O. Diekmann, Delay Equations (Springer, New York, 1995).
15. Phase-Locked Loops, edited by W. C. Lindsey and C. M. Chie (IEEE Press, New York, 1986).
16. W. Wischert, A. Wunderlin, and A. Pelster, Phys. Rev. E 49, 203 (1994).
17. O. E. Rössler, Phys. Lett. 47A, 397 (1976).
18. R. Volz, J. Math. Anal. Appl. 120, 584 (1986)
19. L. L. Ming, Math. Comput. Modelling 13, 67 (1990).
20. M. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
21. Delayed-feedback models can be realized in an optical manner 10 or electronically [A. Namajunas, K. Pyragas, and A. Tamaševičius, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 957 (1997)].
22. The notion of “chaotic communication” was described in K. M. Cuomo, A. V. Oppenheim, and S. H. Strogatz, IEEE Trans. Circuits Syst., II: Analog Digital Signal Process. 40, 626 (1993).
23. P. Tass, Phys. Rev. E 54, R2224 (1996)
24. Phys. Rev. EC. W. Eurich and J. G. Milton, 54, 6681 (1996)
25. Nonlinear Analysis of Physiological Data, edited by H. Kantz, J. Kurths, and G. Mayer-Kress (Springer, Berlin, 1998).
26. P.A. Tass, Phase Resetting in Medicine & Biology (Springer, Berlin, 1999).
27. W. Just, Phys. Rev. Lett. 78, 203 (1997)
28. Phys. Rev. Lett.W. Just81, 562 (1998).