About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 352826, 8 pages
http://dx.doi.org/10.1155/2013/352826
Research Article

Full Synchronization Studied by a Set of Partitions Connected Together

1School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
3Department of Mathematics, Southeast University, Nanjing 210096, China
4Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received 9 July 2013; Accepted 22 August 2013

Academic Editor: Qiankun Song

Copyright © 2013 Jianbao Zhang et al. 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. L. M. Pecora and T. L. Carroll, “Master stability functions for synchronized coupled systems,” Physical Review Letters, vol. 80, no. 10, pp. 2109–2112, 1998. View at Scopus
  2. V. N. Belykh, I. V. Belykh, and M. Hasler, “Connection graph stability method for synchronized coupled chaotic systems,” Physica D, vol. 195, no. 1-2, pp. 159–187, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. I. V. Belykh, V. N. Belykh, and M. Hasler, “Blinking model and synchronization in small-world networks with a time-varying coupling,” Physica D, vol. 195, no. 1-2, pp. 188–206, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. 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 · View at MathSciNet
  5. Y. H. Chen, G. Rangarajan, and M. Z. Ding, “Stability analysis of synchronized dynamics in coupled systems,” Physical Review E, vol. 67, Article ID 026209, 4 pages, 2003.
  6. M. Girvan and M. E. J. Newman, “Community structure in social and biological networks,” Proceedings of the National Academy of Sciences of the United States of America, vol. 99, no. 12, pp. 7821–7826, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. A. E. Krause, K. A. Frank, D. M. Mason, R. E. Ulanowicz, and W. W. Taylor, “Compartments revealed in food-web structure,” Nature, vol. 426, no. 6964, pp. 282–285, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. G. W. Flake, S. Lawrence, C. L. Giles, and F. M. Coetzee, “Self-organization of the web and identification of communities,” IEEE Computer, vol. 35, no. 3, pp. 66–70, 2002.
  9. A. W. Rives and T. Galitski, “Modular organization of cellular networks,” Proceedings of the National Academy of Sciences of the United States of America, vol. 100, no. 3, pp. 1128–1133, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. C. Feng, Y. L. Zou, and F. Q. Wei, “Synchronization processes in clustered networks with different inter-cluster couplings,” Acta Physica Sinica, vol. 62, no. 7, Article ID 070506, 7 pages, 2013.
  11. X. Wu, W. X. Zheng, and J. Zhou, “Generalized outer synchronization between complex dynamical networks,” Chaos, vol. 19, no. 1, article 013109, 9 pages, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  12. W. Wu and T. Chen, “Partial synchronization in linearly and symmetrically coupled ordinary differential systems,” Physica D, vol. 238, no. 4, pp. 355–364, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. Z. J. Ma, S. Z. Zhang, and G. R. Jiang, “Effect of the coupling matrix with a weight parameter on synchronization pattern in a globally coupled network,” Nonlinear Dynamics, 2013. View at Publisher · View at Google Scholar
  14. C. W. Wu and L. O. Chua, “Synchronization in an array of linearly coupled dynamical systems,” IEEE Transactions on Circuits and Systems. I, vol. 42, no. 8, pp. 430–447, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. 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 · View at MathSciNet
  16. Z. Ma, Z. Liu, and G. Zhang, “A new method to realize cluster synchronization in connected chaotic networks,” Chaos, vol. 16, no. 2, aricle 023103, 9 pages, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. X. Liu and T. Chen, “Boundedness and synchronization of y-coupled Lorenz systems with or without controllers,” Physica D, vol. 237, no. 5, pp. 630–639, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  18. J. F. Heagy, L. M. Pecora, and T. L. Carroll, “Short wavelength bifurcations and size instabilities in coupled oscillator systems,” Physical Review Letters, vol. 74, no. 21, pp. 4185–4188, 1995. View at Publisher · View at Google Scholar · View at Scopus