Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure

Chaos

Volumn 19, Issue 1, 2009, Pages

  He, Wangli ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; COMPUTER SIMULATION; NONLINEAR SYSTEM; OSCILLOMETRY; SIGNAL PROCESSING; STATISTICAL MODEL; SYSTEMS THEORY; THEORETICAL MODEL; TIME;

ALGORITHMS; COMPUTER SIMULATION; MODELS, STATISTICAL; MODELS, THEORETICAL; NONLINEAR DYNAMICS; OSCILLOMETRY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SYSTEMS THEORY; TIME FACTORS;

EID: 63849260788     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3076397     Document Type: Article

References (31)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
2. S. Sundar and A. A. Minai, Phys. Rev. Lett. 85, 5456 (2000).
3. T. Yang and L. O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 976 (1997).
4. G. Chen and X. Dong, From Chaos to Order: Methodologies Perspectives and Application (World Scientific, Singapore, 1998).
5. L. M. Pecora and T. L. Carrol, Phys. Rev. Lett. 64, 821 (1990).
6. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. 366, 1 (2002).
7. D. Huang and R. Guo, Chaos 14, 152 (2004).
8. W. Lin and Y. He, Chaos 15, 023705 (2005).
9. N. J. Corron, J. N. Blakely, and S. D. Pethel, Chaos 15, 023110 (2005).
10. M. Rsenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
11. W. He and J. Cao, Phys. Lett. A 372, 408 (2008).
12. W. Yu and J. Cao, Chaos 16, 023119 (2006).
13. X. Huang and J. Cao, Nonlinearity 19, 2792 (2006).
14. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).
15. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
16. H. Abarbanel, N. Rulkov, and M. Sushchik, Phys. Rev. E 53, 4528 (1996).
17. T. Yang and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 215 (1999).
18. J. Meng and X. Wang, Chaos 18, 023108 (2008).
19. W. He and J. Cao, Nonlinear Dyn. 55, 55 (2009).
20. Q. Liu and J. Cao, Math. Comput. Modell. 43, 423 (2006).
21. M. Vidyasagar, Nonlinear System Analysis (Prentice-Hall, Englewood Cliffs, 1993).
22. A. Halanay, Differential Equations (Academic, New York, 1996).
23. I. V. Belykh, V. N. Belykh, and M. Hasler, Chaos 16, 015102 (2006).
24. R. Amritkar and C. K. Hu, Chaos 16, 015117 (2006).
25. M. Chen, IEEE Trans. Circuits Syst., II: Express Briefs 53, 1185 (2006).
26. M. Chen, IEEE Trans. Circuits Syst., I: Regul. Pap. 55, 1335 (2008).
27. J. A. K. Suykens and G. V. Osipov, Chaos 18, 037101 (2008).
28. O. E. Rössler, Phys. Lett. 57A, 397 (1976).
29. G. Chen, J. Zhou, and Z. Liu, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 2229 (2004).
30. L. O. Chua, Arch. Elektrotech. (Berlin) 46, 250 (1992).
31. H. Lu, Phys. Lett. A 298, 109 (2002).