Chaos synchronization in coupled systems by applying pinning control

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

Volumn 76, Issue 3, 2007, Pages

  Zhan, Meng ^a   Gao, Jihua ^b   Wu, Ye ^a,c,d   Xiao, Jinghua ^d  

^a Wuhan National Laboratory for Optoelectronics   (China)

^b SHENZHEN UNIVERSITY   (China)

^c UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^d BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS;

CHAOS SYNCHRONIZATION; COUPLING LINKS; FEEDBACK INJECTION SIGNAL; FEEDBACK SIGNAL INTENSITY; GRADIENT COUPLINGS;

COUPLED CIRCUITS;

EID: 34548821020     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.036203     Document Type: Article

References (31)

1. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1196 64, 1196 (1990).
2. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90745-8 170, 421 (1992).
3. I. Aranson, D. Golomb, and H. Sompolinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3495 68, 3495 (1992).
4. D. Auerbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72. 1184 72, 1184 (1994).
5. Hu Gang and Qu Zhilin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.68 72, 68 (1994).
6. J. H. Xiao, G. Hu, J. Z. Yang, and J. H. Gao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5552 81, 5552 (1998).
7. Hu Gang, X. Jinghua, G. Jihua, Li Xiangming, Y. Yugui, and B. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.R3043 62, R3043 (2000).
8. M. E. Bleich and J. E. S. Socolar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.R17 54, R17 (1996).
9. G. K. Harkness, R. Martin, A. J. Scroggie, G.-L. Oppo, and W. J. Firth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2577 58, 2577 (1998).
10. X. Zhang and K. Shen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63. 046212 63, 046212 (2001).
11. J. H. Gao, X. G. Wang, G. Hu, and J. H. Xiao, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00248-1 283, 342 (2001).
12. G. W. Wei, M. Zhan, and C.-H. Lai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.284103 89, 284103 (2002).
13. Y. S. Kwon, S. W. Ham, and K. K. Lee, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2009 55, 2009 (1997).
14. R. O. Grigoriev, M. C. Cross, and H. G. Schuster, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2795 79, 2795 (1997).
15. Y. C. Kouomou and P. Woafo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066201 66, 066201 (2002).
16. G. Greilich, M. Markus, and E. Goles, Eur. Phys. J. D EPJDF6 1434-6060 33, 279 (2005).
17. S. G. Guan, Y. C. Zhou, G. W. Wei, and C.-H. Lai, Chaos CHAOEH 1054-1500 10.1063/1.1539017 13, 64 (2003).
18. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
19. J. F. Heagy, L. M. Pecora, and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4185 74, 4185 (1995).
20. L. M. Pecora, T. L. Carroll, G. A. Johnson, D. J. Mar, and J. F. Heagy, Chaos CHAOEH 1054-1500 10.1063/1.166278 7, 520 (1997).
21. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109 80, 2109 (1998).
22. J. Z. Yang, G. Hu, and J. H. Xiao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.496 80, 496 (1998).
23. G. Hu, J. Z. Yang, and W. J. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4440 58, 4440 (1998).
24. M. Zhan, G. Hu, and J. Z. Yang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.2963 62, 2963 (2000).
25. 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);
26. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002);
27. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Chaos CHAOEH 1054-1500 10.1063/1.1529450 13, 1 (2003).
28. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D PDNPDT 0167-2789 10.1016/0167-2789(85)90011-9 16, 285 (1985).
29. L. Caffarelli, L. Nirenberg, and J. Spruck, Acta Math. ACMAA8 0001-5962 155, 261 (1985).
30. G. Strang, Linear Algebra and its Applications (Academic Press, London, 1976);
31. I. V. Proskuryakov, Problems in Linear Algebra (Mir Publishers, Moscow, 1985).