Adaptive coupling for achieving stable synchronization of chaos

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

Volumn 80, Issue 5, 2009, Pages

  Sorrentino, Francesco ^a,b  

^a UNIVERSITY OF NAPLES PARTHENOPE   (Italy)

^b The Institute for Research in Electronics and Applied Physics   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE COUPLING; ADAPTIVE STRATEGY; COUPLED CHAOTIC SYSTEM; COUPLING STRENGTHS; NUMERICAL SIMULATION; SYNCHRONIZATION OF CHAOS;

COMPUTER SIMULATION; SYNCHRONIZATION;

CHAOTIC SYSTEMS;

EID: 71449087978     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.056206     Document Type: Article

References (18)

1. F. Sorrentino and E. Ott, Phys. Rev. Lett. 100, 114101 (2008). 10.1103/PhysRevLett.100.114101
2. F. Sorrentino and E. Ott, Phys. Rev. E 79, 016201 (2009). 10.1103/PhysRevE.79.016201
3. H. D. I. Abarbanel, D. R. Creveling, and J. M. Jeanne, Phys. Rev. E 77, 016208 (2008). 10.1103/PhysRevE.77.016208
4. D. R. Creveling, P. E. Gill, and H. D. I. Abarbanel, Phys. Lett. A 372, 2640 (2008). 10.1016/j.physleta.2007.12.051
5. J. C. Quinn, P. H. Bryant, D. R. Creveling, S. R. Klein, and H. D. I. Abarbanel, Phys. Rev. E 80, 016201 (2009). 10.1103/PhysRevE.80.016201
6. F. Sorrentino and E. Ott, Chaos 19, 033108 (2009). 10.1063/1.3186458
7. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983). 10.1143/PTP.69.32
8. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Izv. Vyssh Uchebn. Zaved., Radiofiz. 29, 795 (1986).
9. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998). 10.1103/PhysRevLett.80.2109
10. J. Yang, G. Hu, and J. Xiao, Phys. Rev. Lett. 80, 496 (1998). 10.1103/PhysRevLett.80.496
11. C. Zhou and J. Kurths, Phys. Rev. Lett. 96, 164102 (2006). 10.1103/PhysRevLett.96.164102
12. P. De Lellis, M. di Bernardo, F. Sorrentino, and A. Tierno, Int. J. Comput. Math. 85, 1189 (2008). 10.1080/00207160701704580
13. P. De Lellis, M. di Bernardo, and F. Garofalo, Chaos 18, 037110 (2008). 10.1063/1.2944236
14. G. Hu, J. Yang, and W. Liu, Phys. Rev. E 58, 4440 (1998). 10.1103/PhysRevE.58.4440
15. A. S. Pikovsky, Z. Phys. B 55, 149 (1984). 10.1007/BF01420567
16. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993). 10.1103/PhysRevLett.70.279
17. E. Ott and J. C. Sommerer, Phys. Lett. A 188, 39 (1994). 10.1016/0375-9601(94)90114-7
18. Note that though the synchronous state is stable for any value of γ Γ, the rate of contraction towards the synchronization manifold is still dependent on the particular choice of γ. Thus, if γ varies continuously in time, the values of γ that minimize the master stability function are more likely to attract the evolution of the receiver onto the synchronous state.