Anticipated synchronization and the predict-prevent control method in the FitzHugh-Nagumo model system

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

Volumn 85, Issue 5, 2012, Pages

  Mayol, C ^a   Mirasso, C R ^a   Toral, R ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL METHODS; DIRECT CONTROL; EXTERNAL FORCING; FITZHUGH-NAGUMO MODEL; FITZHUGH-NAGUMO SYSTEMS; FORCINGS; MASTER SYSTEMS; MASTER-SLAVE CONFIGURATIONS; PARAMETER MISMATCHES; PERFECT MATCHINGS;

DYNAMICS;

SYNCHRONIZATION;

EID: 84861929382     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.056216     Document Type: Article

References (34)

1. A. Pikovsky, M. Rosemblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
2. L. Glass, Nature (London) NATUAS 0028-0836 10.1038/35065745 410, 277 (2001). (Pubitemid 32218701)
3. H. U. Voss, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.5115 61, 5115 (2000);
4. H. U. Voss, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.039904 64, 039904 (E) (2001);
5. H. U. Voss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 014102 87, 014102 (2001).
6. R. Toral, C. Masoller, C. R. Mirasso, M. Ciszak, and O. Calvo, Phys. A (Amsterdam, Neth.) PHYADX 0378-4371 10.1016/S0378-4371(03)00198-5 325, 192 (2003).
7. M. Ciszak, O. Calvo, C. Masoller, C. R. Mirasso, and R. Toral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.204102 90, 204102 (2003).
8. M. Ciszak, F. Marino, R. Toral, and S. Balle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.114102 93, 114102 (2004).
9. O. Calvo, D. R. Chialvo, V. M. Eguiluz, C. Mirasso, and R. Toral, Chaos CHAOEH 1054-1500 10.1063/1.1620991 14, 7 (2004). (Pubitemid 38430231)
10. A. N. Pisarchik, R. Jaimes-Reátegui, J. R. Villalobos-Salazar, J. H. García-López, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.244102 96, 244102 (2006). (Pubitemid 43938681)
11. K. Pyragas and T. Pyragiene, Philos. Trans. R. Soc., A PTRMAD 1364-503X 10.1098/rsta.2009.0211 368, 305 (2010).
12. F. S. Matias, P. V. Carelli, C. R. Mirasso, and M. Copelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.021922 84, 021922 (2011).
13. H. U. Voss, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127402005340 12, 1619 (2002).
14. A. N. Pisarchik, R. Jaimes-Reategui, and J. H. Garcia-Lopez, Philos. Trans. R. Soc., A PTRMAD 1364-503X 10.1098/rsta.2007.2103 366, 459 (2008).
15. P. Davis, T. Aida, S. Saito, Y. Liu, Y. Takiguchi, and J. M. Liu, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1485127 80, 4306 (2002). (Pubitemid 34720472)
16. H. F. Chen and J. M. Liu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.046216 71, 046216 (2005). (Pubitemid 40619658)
17. S. Y. Xu, Y. Yang, and L. Song, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2009.03.028 373, 2226 (2009).
18. M. Ciszak, C. R. Mirasso, R. Toral, and O. Calvo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.046203 79, 046203 (2009).
19. W. Y. Qin, Y. F. Yang, Z. H. Kang, and X. Ren, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/j.chaos.2009.03.053 42, 1466 (2009).
20. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1196 64, 1196 (1990).
21. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90745-8 170, 421 (1992).
22. S. Boccaletti, C. Grebogi, Y. C. Lai, H. Mancini, and D. Maza, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00096-4 329, 103 (2000).
23. S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano, and W. L. Ditto, Nature (London) NATUAS 0028-0836 10.1038/370615a0 370, 615 (1994). (Pubitemid 24270675)
24. K. A. Richardson, S. J. Schiff, and B. J. Gluckman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.028103 94, 028103 (2005). (Pubitemid 40620189)
25. B. J. Gluckman and S. J. Schiff, US Patent No. US6665562B2 (16 Dec. 2003).
26. L. H. Ting, K. W. van Antwerp, J. E. Scrivens, J. L. McKay, T. D. J. Welch, J. T. Bingham, and S. P. DeWeerth, Chaos CHAOEH 1054-1500 10.1063/1.3142245 19, 026111 (2009).
27. J. N. Weiss, A. Garfinkel, M. L. Spano, and W. L. Ditto, J. Clin. Invest. JCINAO 0021-9738 10.1172/JCI117111 93, 1355 (1994).
28. D. J. Christini and J. J. Collins, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.R49 53, R49 (1996).
29. K. Hall, D. J. Christini, M. Tremblay, J. J. Collins, L. Glass, and J. Billette, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4518 78, 4518 (1997).
30. A. Voss, S. Schulz, R. Schroeder, M. Baumert, and P. Caminal, Philos. Trans. R. Soc., A PTRMAD 1364-503X 10.1098/rsta.2008.0232 367, 277 (2009).
31. C. Koch, Biophysics of Computation (Oxford University Press, New York, 1999).
32. In Theory of Heart, edited by L. Glass, P. Hunter, and A. McCulloch (Springer, New York, 1999).
33. C. Masoller, M. C. Torrent, and J. García-Ojalvo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.041907 78, 041907 (2008).
34. M. Ciszak, R. Toral, and C. R. Mirasso, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007694 18, 1135 (2004). (Pubitemid 40109828)