Generalized outer synchronization between complex dynamical networks

Chaos

Volumn 19, Issue 1, 2009, Pages

  Wu, Xiaoqun ^a,b   Zheng, Wei Xing ^b   Zhou, Jin ^a,c  

^a WUHAN UNIVERSITY   (China)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ANIMAL; ARTIFICIAL NEURAL NETWORK; COMPUTER SIMULATION; EVOLUTION; FOOD CHAIN; HUMAN; NONLINEAR SYSTEM; PREDATION; REPRODUCIBILITY; STATISTICAL MODEL; SYSTEMS THEORY; THEORETICAL MODEL; TIME;

ALGORITHMS; ANIMALS; BIOLOGICAL EVOLUTION; COMPUTER SIMULATION; FOOD CHAIN; HUMANS; MODELS, STATISTICAL; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; PREDATORY BEHAVIOR; REPRODUCIBILITY OF RESULTS; SYSTEMS THEORY; TIME FACTORS;

EID: 63849299253     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3072787     Document Type: Article

References (42)

1. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
2. S. H. Strogatz, Nature (London) 410, 268 (2001).
3. A. L. Barabási, R. Albert, and H. Jeong, Physica A 272, 173 (1999).
4. H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai, and A.-L. Barabási, Nature (London) 407, 651 (2000).
5. S. Goto, T. Nishioka, and M. Kanehisa, Bioinformatics 14, 591 (1998).
6. A. B. Horne, T. C. Hodgman, H. D. Spence, and A. R. Dalby, Bioinformatics 20, 2050 (2004).
7. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).
8. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
9. Y. H. Chen, G. Rangarajan, and M. Z. Ding, Phys. Rev. E 67, 026209 (2003).
10. C. W. Wu and L. O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 42, 430 (1995).
11. C. W. Wu, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 48, 1257 (2001).
12. C. W. Wu, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 50, 294 (2003).
13. C. W. Wu, IEEE Trans. Circuits Syst., I: Regul. Pap. 52, 282 (2005).
14. C. W. Wu, Synchronization in Coupled Chaotic Circuits and Systems (World Scientific, Singapore, 2002).
15. X. F. Wang and G. Chen, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 54 (2002).
16. X. F. Wang and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 187 (2002).
17. J. Lü and G. Chen, IEEE Trans. Autom. Control 50, 841 (2005).
18. J. Zhou, J. Lu, and J. Lü, IEEE Trans. Autom. Control 51, 652 (2006).
19. W. Lu, Chaos 17, 023122 (2007).
20. C. Li, W. Sun, and J. Kurths, Phys. Rev. E 76, 046204 (2007).
21. For predator-prey relationships, visit the website http://en.wikipedia. org/wiki/Predation and links therein.
22. For intestinal balance, visit the website http://life-enthusiast.com/ index/Education/NutritionPrinciples.
23. H. Tang, L. Chen, J. Lu, and C. K. Tse, Physica A 387, 5623 (2008).
24. N. F. Rulkov, M. M. Sushchik, and L. S. Tsimring, Phys. Rev. E 51, 980 (1995).
25. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
26. J. Meng and X. Wang, Chaos 18, 023108 (2008).
27. D. V. Senthikumar, M. Lakshmanan, and J. Kurths, Chaos 18, 023118 (2008).
28. P. A. Regalia and M. K. Sanjit, SIAM Rev. 31, 586 (1989).
29. H. K. Khalil, Nonlinear Systems, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 2002).
30. E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963).
31. H. Richter, Chaos, Solitons Fractals 12, 2375 (2001).
32. I. Stewart, Nature (London) 406, 948 (2000).
33. G. Chen and T. Ueta, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 1465 (1999).
34. G. Q. Zhong and W. K. S. Tang, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 1423 (2002).
35. J. Lü, G. Chen, and S. Zhang, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 1001 (2002).
36. J. Lü, G. Chen, D. Cheng, and S. Čelikovsky, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2917 (2002).
37. O. E. Rössler, Phys. Lett. 71A, 155 (1979).
38. C. Z. Ning and H. Haken, Phys. Rev. A 41, 3826 (1990).
39. T. Kapitaniak and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 477 (1994).
40. Y. X. Li, W. K. S. Tang, and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, 3367 (2005).
41. A. Chen, J. Lu, J. Lü, and S. Yu, Physica A 364, 103 (2006).
42. D. Li, J. Lu, X. Wu, and G. Chen, J. Math. Anal. Appl. 323, 844 (2006).