Coupling design for a long-term anticipating synchronization of chaos

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 4, 2008, Pages

  Pyragas, Kestutis ^a,b   Pyragiene, Tatjana ^a  

^a CENTER FOR PHYSICAL SCIENCES AND TECHNOLOGY   (Lithuania)

^b VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY;

ANTICIPATING SYNCHRONIZATIONS; CHUA CIRCUITS; DIAGONAL COUPLINGS; LORENZ SYSTEMS;

CHAOTIC SYSTEMS;

EID: 55849097683     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.046217     Document Type: Article

References (26)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A universal concept in nonlinear sciences (Cambridge University Press, Cambridge, England, 2001).
2. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
3. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 29, 795 (1986).
4. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 10.1103/PhysRevLett.64. 821 64, 821 (1990).
5. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 10.1103/PhysRevE.51.980 51, 980 (1995).
6. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 10.1103/PhysRevLett.76.1804 76, 1804 (1996).
7. R. Mainieri and J. Rehacek, Phys. Rev. Lett. 10.1103/PhysRevLett.82.3042 82, 3042 (1999).
8. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 10.1103/PhysRevLett.78.4193 78, 4193 (1997).
9. H. U. Voss, Phys. Rev. E 10.1103/PhysRevE.61.5115 61, 5115 (2000).
10. C. Masoller, Phys. Rev. Lett. 10.1103/PhysRevLett.86.2782 86, 2782 (2001).
11. O. Calvo, D. R. Chialvo, V. M. Eguíluz, C. Mirasso, and R. Toral, Chaos 10.1063/1.1620991 14, 7 (2004).
12. M. Kostur, P. Hänggi, P. Talkner, and J. L. Mateos, Phys. Rev. E 10.1103/PhysRevE.72.036210 72, 036210 (2005).
13. H. U. Voss, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10.1142/S0218127402005340 12, 1619 (2002).
14. S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, Phys. Rev. Lett. 10.1103/PhysRevLett.87.154101 87, 154101 (2001).
15. S. Tang and J. M. Liu, Phys. Rev. Lett. 10.1103/PhysRevLett.90.194101 90, 194101 (2003).
16. M. Ciszak, O. Calvo, C. Masoller, C. R. Mirasso, and R. Toral, Phys. Rev. Lett. 10.1103/PhysRevLett.90.204102 90, 204102 (2003).
17. M. Ciszak, F. Marino, R. Toral, and S. Balle, Phys. Rev. Lett. 10.1103/PhysRevLett.93.114102 93, 114102 (2004).
18. H. U. Voss, Phys. Rev. Lett. 10.1103/PhysRevLett.87.014102 87, 014102 (2001).
19. C. Mendoza, S. Boccaletti, and A. Politi, Phys. Rev. E 10.1103/PhysRevE.69.047202 69, 047202 (2004).
20. O. E. Rössler, Phys. Lett. 10.1016/0375-9601(76)90101-8 57, 397 (1976).
21. B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, and E. Schöll, Phys. Rev. Lett. 10.1103/PhysRevLett.98.114101 98, 114101 (2007).
22. K. Pyragas, Phys. Lett. A 10.1016/0375-9601(92)90745-8 170, 421 (1992).
23. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, Adv. Comput. Math. 10.1007/BF02124750 5, 329 (1996).
24. L. O. Chua, M. Komuro, and T. Matsumoto, IEEE Trans. Circuits Syst. 33, 1072 (1986). 10.1109/TCS.1986.1085869
25. E. N. Lorenz, J. Atmos. Sci. 10.1175/1520-0469(1963)020<0130:DNF>2. 0.CO;2 20, 130 (1963).
26. M. Ciszak, J. M. Gutierrez, A. S. Cofino, C. Mirasso, R. Toral, L. Pesquera, and S. Ortin, Phys. Rev. E 10.1103/PhysRevE.72.046218 72, 046218 (2005).