Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014, Article ID 587019, 7 pages
http://dx.doi.org/10.1155/2014/587019
Research Article

Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches

1School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
2School of Informatics, Linyi University, Linyi 276005, China
3School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
4Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, China

Received 2 April 2014; Revised 1 July 2014; Accepted 1 July 2014; Published 16 July 2014

Academic Editor: Chuangxia Huang

Copyright © 2014 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. R. Femat and J. Alvarez-Ram{\'{\i}}rez, “Synchronization of a class of strictly different chaotic oscillators,” Physics Letters. A, vol. 236, no. 4, pp. 307–313, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  2. J. A. K. Suykens, P. F. Curran, J. Vandewalle, and L. O. Chua, “Robust nonlinear H synchronization of chaotic Lur’e systems,” IEEE Transactions on Circuits and Systems I. Fundamental Theory and Applications, vol. 44, no. 10, pp. 891–904, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. W. Zhang, J. Huang, and P. Wei, “Weak synchronization of chaotic neural networks with parameter mismatch via periodically intermittent control,” Applied Mathematical Modelling, vol. 35, no. 2, pp. 612–620, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. X. Liu, T. Chen, J. Cao, and W. Lu, “Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches,” Neural Networks, vol. 24, no. 10, pp. 1013–1021, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. W. He, F. Qian, Q. Han, and J. Cao, “Lag quasi-synchronization of coupled delayed systems with parameter mismatch,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 58, no. 6, pp. 1345–1357, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. J. Zhang, Z. Ma, and G. Zhang, “Cluster synchronization induced by one-node clusters in networks with asymmetric negative couplings,” Chaos, vol. 23, no. 4, Article ID 043128, 2013. View at Google Scholar
  7. X. Yang, C. Huang, and J. Cao, “An LMI approach for exponential synchronization of switched stochastic competitive neural networks with mixed delays,” Neural Computing and Applications, vol. 21, no. 8, pp. 2033–2047, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Zhang, Z. Ma, and J. Cao, “Full synchronization studied by a set of partitions connected together,” Abstract and Applied Analysis, vol. 2013, Article ID 352826, 8 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  9. M. B. Elowitz and S. Leibier, “A synthetic oscillatory network of transcriptional regulators,” Nature, vol. 403, no. 6767, pp. 335–338, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. R. Wang and L. Chen, “Synchronizing genetic oscillators by signaling molecules,” Journal of Biological Rhythms, vol. 20, no. 3, pp. 257–269, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, and R. Roy, “Crowd synchrony and quorum sensing in delay-coupled lasers,” Physical Review Letters, vol. 105, no. 26, Article ID 264101, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. A. F. Taylor, M. R. Tinsley, F. Wang, Z. Huang, and K. Showalter, “Dynamical quorum sensing and synchronization in large populations of chemical oscillators,” Science, vol. 323, no. 5914, pp. 614–617, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. D. J. Schwab, A. Baetica, and P. Mehta, “Dynamical quorum-sensing in oscillators coupled through an external medium,” Physica D: Nonlinear Phenomena, vol. 241, no. 21, pp. 1782–1788, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. D. McMillen, N. Kopell, J. Hasty, and J. J. Collins, “Synchronizing genetic relaxation oscillators by intercell signaling,” Proceedings of the National Academy of Sciences of the United States of America, vol. 99, no. 2, pp. 679–684, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Garcia-Ojalvo, M. B. Elowitz, and S. H. Strogatz, “Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing,” Proceedings of the National Academy of Sciences of the United States of America, vol. 101, no. 30, pp. 10955–10960, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. S. P. Boyd, L. E. I. Ghaoui, E. Feron, and V. BalaKrishnan, “Linear matrix inequalities in system and control theory,” SIAM Studies in Applied Mathematics, vol. 15, pp. 119–126, 1994. View at Google Scholar
  17. C. Huang, H. Kuang, X. Chen et al., “An LMI approach for dynamics of switched cellular neural networks with mixed delays,” Abstract and Applied Analysis, vol. 2013, Article ID 870486, 8 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  18. C. Li, L. Chen, and K. Aihara, “Synchronization of coupled nonidentical genetic oscillators,” Physical Biology, vol. 3, no. 1, pp. 37–44, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. C. Huang and J. Cao, “Convergence dynamics of stochastic Cohen-Grossberg neural networks with unbounded distributed delays,” IEEE Transactions on Neural Networks, vol. 22, no. 4, pp. 561–572, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. M. Vidyasagar, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, USA, 2nd edition, 1993.
  21. C. W. Wu, Synchronization in Coupled Chaotic Circuits and Systems, World Scientific, Singapore, 2002. View at Publisher · View at Google Scholar · View at MathSciNet