Exponential stability of synchronization in asymmetrically coupled dynamical networks

Chaos

Volumn 18, Issue 2, 2008, Pages

  Li, Zhi ^a  

^a XIDIAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46649120883     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2931332     Document Type: Article

References (33)

1. M. C. Gonzalez and A.-L. Barabasi, Nat. Phys. 3, 224-225 (2007).
2. S. H. Strogatz, Nature (London) 410, 268-276 (2001).
3. A.-L. Barabasi and R. Albert, Science 286, 509-512 (1999).
4. D. J. Watts and S. H. Strogatz, Nature (London) 391, 440-442 (1998).
5. V. Colizza, R. Pastor-Satorras, and A. Vespignani, Nat. Phys. 3, 276-282 (2007).
6. Ingmar H. Riedel-Kruse, Claudia Muller, and Andrew C. Oates, Science 317, 1911-1915 (2007).
7. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200-3203 (2001).
8. J. Balthrop, S. Forrest, M. E. J. Newman, and M. M. Williamson, Science 304-529, 527 (2004).
9. Theory and Applications of Coupled Map Lattices, edited by, K. Kaneko, (Wiley, New York, 1993).
10. L. O. Chua, CNN: A Paradigm for Complexity (World Scientific, Singapore, 1998).
11. C. W. Wu and L. O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 42, 430-447 (1995).
12. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109-2112 (1998).
13. C. W. Wu, Synchronization in Coupled Chaotic Circuits and Systems (World Scientific, Singapore, 2002).
14. X. Wang and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 187-192 (2002).
15. X. Wang and G. Chen, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 54-62 (2002).
16. P. M. Grade and C-K. Hu, Phys. Rev. E 62, 6409-6413 (2000).
17. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
18. G. Rangarajan and M. Ding, Phys. Lett. A 296, 204-209 (2002).
19. Z. Li and G. Chen, IEEE Trans. Circuits Syst., II: Express Briefs 53, 28-33 (2006).
20. W. Lu and T. Chen, Physica D 213, 214-230 (2006).
21. I. Belykh, V. Belykh, and M. Hasler, Chaos 16, 015102 (2006).
22. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteat, Phys. Rev. Lett. 91, 014101 (2003).
23. A. E. Motter, C. Zhou, and J. Kurths, Phys. Rev. E 71, 016116 (2005).
24. C. W. Wu, Nonlinearity 18, 1057-1064 (2005).
25. I. V. Belykh, V. N. Belykh, K. V. Nevidin, and M. Hasler, Chaos 13, 165 (2003).
26. Z. Li and J.-J. Lee, Chaos 17, 043117 (2007).
27. H. Minc, Nonnegative Matrices (Wiley, New York, 1988).
28. Sudeshna Sinha, Phys. Rev. E 66, 016209 (2002).
29. Maruthi Pradeep Kanth Jampa, Abhijeet R. Sonawane, Prashant M. Gade, and Sudeshna Sinha, Phys. Rev. E 75, 026215 (2007).
30. T. Nishikawa and A. E. Motter, Phys. Rev. E 73, 065106 (2006).
31. T. Nishikawa and A. E. Motter, Physica D 224, 77-89 (2006).
32. Z. Li, L. C. Jiao, and J.-J. Lee, Physica A 387, 1369-1380 (2008).
33. E. Fischer and U. Sauer, Nat. Genet. 37, 636-640 (2005).