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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 810364, 11 pages
http://dx.doi.org/10.1155/2012/810364
Research Article

The Effect of Control Strength on Lag Synchronization of Nonlinear Coupled Complex Networks

1Department of Mathematics and Physics, Changzhou Campus, Hohai University, Jiangsu, Changzhou 213022, China
2Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, China
3School of Finance and Economics, Jiangsu University, Jiangsu, Zhenjiang 212013, China

Received 15 March 2012; Accepted 16 May 2012

Academic Editor: Tingwen Huang

Copyright © 2012 Shuguo Wang and Hongxing Yao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. M. Mahmoud and E. E. Mahmoud, “Complete synchronization of chaotic complex nonlinear systems with uncertain parameters,” Nonlinear Dynamics, vol. 62, no. 4, pp. 875–882, 2010. View at Publisher · View at Google Scholar · View at Scopus
  2. S. Xu and Y. Yang, “Global asymptotical stability and generalized synchronization of phase synchronous dynamical networks,” Nonlinear Dynamics, vol. 59, no. 3, pp. 485–496, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. J. L. Wang and H. N. Wu, “Local and global exponential output synchronization of complex delayed dynamical networks,” Nonlinear Dynamics, vol. 67, no. 1, pp. 497–504, 2012.
  4. Y. C. Hung, Y. T. Huang, M. C. Ho, and C. K. Hu, “Paths to globally generalized synchronization in scale-free networks,” Physical Review E, vol. 77, no. 1, Article ID 016202, 8 pages, 2008. View at Publisher · View at Google Scholar
  5. H. N. Agiza, “Chaos synchronization of Lü dynamical system,” Nonlinear Analysis, vol. 58, no. 1-2, pp. 11–20, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Physical Review E, vol. 51, no. 2, pp. 980–994, 1995. View at Publisher · View at Google Scholar · View at Scopus
  7. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Physical Review Letters, vol. 76, no. 11, pp. 1804–1807, 1996. View at Scopus
  8. L. P. Zhang, H. B. Jiang, and Q. S. Bi, “Reliable impulsive lag synchronization for a class of nonlinear discrete chaotic systems,” Nonlinear Dynamics, vol. 59, no. 4, pp. 529–534, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. Z.-L. Wang, “Projective synchronization of hyperchaotic Lü system and Liu system,” Nonlinear Dynamics, vol. 59, no. 3, pp. 455–462, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. Q. J. Zhang and J. C. Zhao, “Projective and lag synchronization between general complex networks via impulsive control,” Nonlinear Dynamics, vol. 67, no. 4, pp. 2519–2525, 2012. View at Publisher · View at Google Scholar
  11. Q. Han, C. D. Li, and J. J. Huang, “Anticipating synchronization of chaotic systems with time delay and parameter mismatch,” Chaos, vol. 19, no. 1, Article ID 013104, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Y. Cao and Y. C. Lai, “Anti-phase synchronization in chaotic systems,” Physical Review E, vol. 58, pp. C382–C386, 1998.
  13. J. Y. Wang, J. W. Feng, C. Xu, and Y. Zhao, “Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix,” Nonlinear Dynamics, vol. 67, no. 2, pp. 1635–1646, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. I. Belykh, V. Belykh, K. Nevidin, and M. Hasler, “Persistent clusters in lattices of coupled nonidentical chaotic systems,” Chaos, vol. 13, no. 1, pp. 165–178, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. C. F. Feng, “Projective synchronization between two different time-delayed chaotic systems using active control approach,” Nonlinear Dynamics, vol. 62, no. 1-2, pp. 453–459, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. W. L. Guo, “Lag synchronization of complex networks via pinning control,” Nonlinear Analysis, vol. 12, no. 5, pp. 2579–2585, 2011, http://www.elsevier.com/locate/nonrwa.
  17. E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, “Lag synchronization in time-delayed systems,” Physics Letters A, vol. 292, no. 6, pp. 320–324, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. Yang and J. Cao, “Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects,” Physica A, vol. 386, no. 1, pp. 492–502, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. C. Li, X. Liao, and K. Wong, “Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication,” Physica D, vol. 194, no. 3-4, pp. 187–202, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  20. Z.-L. Wang and X.-R. Shi, “Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller,” Applied Mathematics and Computation, vol. 215, no. 3, pp. 1091–1097, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  21. J. Zhou, T. Chen, and L. Xiang, “Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication,” Circuits, Systems, and Signal Processing, vol. 24, no. 5, pp. 599–613, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. L. P. Wang, Z. T. Yuan, X. H. Chen, and Z. F. Zhou, “Lag synchronization of chaotic systems with parameter mismatches,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 2, pp. 987–992, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. Y. Sun and J. Cao, “Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation,” Physics Letters A, vol. 364, no. 3-4, pp. 277–285, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. W. Yu and J. Cao, “Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification,” Physica A, vol. 375, no. 2, pp. 467–482, 2007. View at Publisher · View at Google Scholar · View at Scopus
  25. W. L. Guo, F. Austin, S. H. Chen, and W. Sun, “Pinning synchronization of the complex networks with non-delayed and delayed coupling,” Physics Letters A, vol. 373, no. 17, pp. 1565–1572, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  26. X. F. Wang and G. Chen, “Pinning control of scale-free dynamical networks,” Physica A, vol. 310, no. 3-4, pp. 521–531, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  27. T. Chen, X. Liu, and W. Lu, “Pinning complex networks by a single controller,” IEEE Transactions on Circuits and Systems. I, vol. 54, no. 6, pp. 1317–1326, 2007. View at Publisher · View at Google Scholar
  28. W. W. Yu, G. R. Chen, and J. H. Lü, “On pinning synchronization of complex dynamical networks,” Automatica A, vol. 45, no. 2, pp. 429–435, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  29. X. Zhou, H. Feng, and S. Chen, “The effect of control strength on the synchronization in pinning control questions,” Computers & Mathematics with Applications, vol. 61, no. 8, pp. 2014–2018, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  30. W. Yu and J. Cao, “Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification,” Physica A, vol. 375, no. 2, pp. 467–482, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. W. Lu and T. Chen, “New approach to synchronization analysis of linearly coupled ordinary differential systems,” Physica D, vol. 213, no. 2, pp. 214–230, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  32. W. Guo, F. Austin, S. Chen, and W. Sun, “Pinning synchronization of the complex networks with non-delayed and delayed coupling,” Physics Letters A, vol. 373, no. 17, pp. 1565–1572, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  33. C. W. Wu, “Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling,” IEEE Transactions on Circuits and Systems II, vol. 52, no. 5, pp. 282–286, 2005. View at Publisher · View at Google Scholar · View at Scopus
  34. H. Liu, J. Chen, J. A. Lu, and M. Cao, “Generalized synchronization in complex dynamical networks via adaptive couplings,” Physica A, vol. 389, no. 8, pp. 1759–1770, 2010. View at Publisher · View at Google Scholar · View at Scopus