Asymmetric Coupling Effects in the Synchronization of Spatially Extended Chaotic Systems

Physical Review Letters

Volumn 91, Issue 6, 2003, Pages

  Bragard, J ^a   Boccaletti, S ^b   Mancini, H ^a  

^a UNIVERSITY OF NAVARRA   (Spain)

^b ISTITUTO NAZIONALE DI OTTICA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FOURIER TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS; PHASE SPACE METHODS; STATE SPACE METHODS; SYNCHRONIZATION;

ASYMMETRIC COUPLING EFFECTS; GINZBURG-LANDAU EQUATIONS; PEARSON COEFFICIENT; PHASE SYNCHRONIZATION; SPATIALLY EXTENDED CHAOTIC SYSTEMS;

CHAOS THEORY;

EID: 0141564748     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.91.064103     Document Type: Article

References (35)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001);
2. S.�Boccaletti, J.�Kurths, G.�Osipov, D.�Valladares, and C.�Zhou, Phys. Rep.10.1016/S0370-1573(02)00137-0 366, 1 (2002).
3. C. Schafer et al, Nature (London)10.1038/32567 392, 239 (1998);
4. P. Tass et al, Phys. Rev. Lett.10.1103/PhysRevLett.81.3291 81, 3291 (1998);
5. G.D. Van Wiggeren and R. Roy, Science10.1126/science.279.5354.1198 279, 1198 (1998);
6. A. Neiman et al, Phys. Rev. Lett.10.1103/PhysRevLett.82.660 82, 660 (1999);
7. D.J. DeShazer et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.044101 87, 044101 (2001).
8. C.M. Ticos et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.2929 85, 2929 (2000);
9. D. Maza et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.5567 85, 5567 (2000);
10. E. Allaria et al, Phys. Rev. Lett.10.1103/PhysRevLett.86.791 86, 791 (2001).
11. S.H. Strogatz, S.E. Mirollo, and P.C. Matthews, Phys. Rev. Lett.10.1103/PhysRevLett.68.2730 68, 2730 (1992);
12. A.�Pikovsky, M.�Rosenblum, and J.�Kurths, Europhys. Lett. 34, 165 (1996);
13. G.�Osipov et al, Phys. Rev. EPLEEE810.1103/PhysRevE.55.2353 55, 2353 (1997);
14. V.N. Belykh, I.�Belykh, and E.�Mosekilde, Phys. Rev. EPLEEE810.1103/PhysRevE.63.036216 63, 036216 (2001).
15. V.N. Belykh and E. Mosekilde, Phys. Rev. EPLEEE810.1103/PhysRevE.54.3196 54, 3196 (1996);
16. M.�Hasler, Yu. Maistrenko, and E.�Mosekilde, Phys. Rev. EPLEEE810.1103/PhysRevE.58.6843 58, 6843 (1998);
17. A.�Pikovsky, O.�Popovich, and Yu. Maistrenko, Phys. Rev. Lett.10.1103/PhysRevLett.87.044102 87, 044102 (2001).
18. G. Hu and Z. Qu, Phys. Rev. Lett.10.1103/PhysRevLett.72.68 72, 68 (1994);
19. L. Kocarev, Z. Tasev, and U. Parlitz, Phys. Rev. Lett.10.1103/PhysRevLett.79.51 79, 51 (1997);
20. R.O. Grigoriev, M.C. Cross, and H.G. Schuster, Phys. Rev. Lett.10.1103/PhysRevLett.79.2795 79, 2795 (1997);
21. H.�Chaté, A.�Pikovsky, and O.�Rudzick, Physica (Amsterdam)10.1016/S0167-2789(98)00215-2 131D, 17 (1999).
22. S. Boccaletti et al, Phys. Rev. Lett.10.1103/PhysRevLett.83.536 83, 536 (1999);
23. J.�Bragard, S.�Boccaletti, and F.T. Arecchi, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE410.1142/S0218127401003796 11, 2715 (2001).
24. L. Junge and U. Parlitz, Phys. Rev. EPLEEE810.1103/PhysRevE.62.438 62, 438 (2000).
25. See M. Cross and P. Hohenberg, Rev. Mod. Phys.10.1103/RevModPhys.65.851 65, 851 (1993), and references therein.
26. P. Coullet, L. Gil, and F. Roca, Opt. Commun.OPCOB810.1016/0030-4018(89)90180-6 73, 403 (1989).
27. P. Kolodner, S. Slimani, N. Aubry, and R. Lima, Physica (Amsterdam)10.1016/0167-2789(95)00061-8 85D, 165 (1995).
28. Y. Kuramoto and S. Koga, Prog. Theor. Phys. Suppl. 66, 1081 (1981).
29. T. Leweke and M. Provansal, Phys. Rev. Lett.10.1103/PhysRevLett.72.3174 72, 3174 (1994).
30. B. Shraiman et al, Physica (Amsterdam)10.1016/0167-2789(92)90001-4 57D, 241 (1992);
31. H. Chaté, NonlinearityNONLE510.1088/0951-7715/7/1/007 7, 185 (1994);
32. H. Chatéin Spatiotemporal Patterns in Nonequilibrium Complex Systems, edited by P.E. Cladis and P.�Palffy-Muhoray (Addison-Wesley, New York, 1995).
33. B. Janiaud et al, Physica (Amsterdam)10.1016/0167-2789(92)90060-Z 55D, 269 (1992).
34. W.H. Press et al, Numerical Recipes in Fortran 90 (Cambridge University Press, Cambridge, 1992).
35. B. Blasius, E. Montbrió, and J. Kurths, Phys. Rev. EPLEEE810.1103/PhysRevE.67.035204 67, 035204(R) (2003).