Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 437673, 10 pages
http://dx.doi.org/10.1155/2014/437673
Research Article

Outer Synchronization between Complex Networks with Nonlinear Time-Delay Characteristics and Time-Varying Topological Structures

College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Received 6 December 2013; Accepted 15 February 2014; Published 25 March 2014

Academic Editor: Her-Terng Yau

Copyright © 2014 Xinli Fang 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. J. Feng, S. Q. Wang, and Z. S. Wang, “Stochastic synchronization in an array of neural networks with hybrid nonlinear coupling,” Neurocomputing, vol. 74, no. 18, pp. 3808–3815, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. H. Xu, W. N. Zhou, J. A. Fang, and H. Q. Lu, “Structure identification and adaptive synchronization of uncertain general complex dynamical networks,” Physics Letters A: General, Atomic and Solid State Physics, vol. 374, no. 2, pp. 272–278, 2009. View at Publisher · View at Google Scholar · View at Scopus
  3. B. X. Wang and Z.-H. Guan, “Chaos synchronization in general complex dynamical networks with coupling delays,” Nonlinear Analysis: Real World Applications, vol. 11, no. 3, pp. 1925–1932, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. Z. Y. Wu and X. C. Fu, “Outer synchronization between drive-response networks with nonidentical nodes and unknown parameters,” Nonlinear Dynamics, vol. 69, no. 1-2, pp. 685–692, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  5. W. Sun, Z.-Z. Yan, S.-H. Chen, and J.-H. Lü, “Outer synchronization of complex networks by impulse,” Communications in Theoretical Physics, vol. 56, no. 5, pp. 885–890, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  6. J.-W. Wang, Q. H. Ma, L. Zeng, and M. S. abd-Elouahab, “Mixed outer synchronization of coupled complex networks with time-varying coupling delay,” Chaos, vol. 21, no. 1, Article ID 013121, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. C. P. Li, W. G. Sun, and J. G. Kurths, “Synchronization between two coupled complex networks,” Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, vol. 76, no. 4, Article ID 046204, 6 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Sun, C. Y. Zeng, and L. X. Tian, “Linear generalized synchronization between two complex networks,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 8, pp. 2162–2167, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. Z. Q. Yang, Q. Zhang, and Z. Q. Chen, “Adaptive linear generalized synchronization between two nonidentical networks,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 6, pp. 2628–2636, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  10. G. J. Wang, J. D. Cao, and J. Q. Lu, “Outer synchronization between two nonidentical networks with circumstance noise,” Physica A: Statistical Mechanics and Its Applications, vol. 389, no. 7, pp. 1480–1488, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. C.-X. Fan, G.-P. Jiang, and F.-H. Jiang, “Synchronization between two complex dynamical networks using scalar signals under pinning control,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 11, pp. 2991–2998, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. M. M. Asheghan, J. Míguez, M. T. Hamidi-Beheshti, and M. S. Tavazoei, “Robust outer synchronization between two complex networks with fractional order dynamics,” Chaos, vol. 21, no. 3, Article ID 033121, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. Q. Wu, C. P. Li, Y. J. Wu, and J. Kurths, “Generalized synchronization between two different complex networks,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 1, pp. 349–355, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  14. S. Zheng, S. G. Wang, G. G. Dong, and Q. S. Bi, “Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 1, pp. 284–291, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  15. J. Mei, M. H. Jiang, and Z. C. Huang, “Outer synchronization between two complex networks with identical and nonidentical topological structures,” in Proceedings of the 4th International Workshop on Advanced Computational Intelligence (IWACI '11), pp. 757–762, Hubei, China, October 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. X. J. Wu and H. T. Lu, “Hybrid synchronization of the general delayed and non-delayed complex dynamical networks via pinning control,” Neurocomputing, vol. 89, pp. 168–177, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. W. L. Guo, “Lag synchronization of complex networks via pinning control,” Nonlinear Analysis: Real World Applications, vol. 12, no. 5, pp. 2579–2585, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. X. J. Wu and H. T. Lu, “Outer synchronization of uncertain general complex delayed networks with adaptive coupling,” Neurocomputing, vol. 82, pp. 157–166, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. X. J. Wu and H. T. Lu, “Generalized function projective (lag, anticipated and complete) synchronization between two different complex networks with nonidentical nodes,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 7, pp. 3005–3021, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  20. 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 · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. M. F. Hu, Z. Y. Xu, and Y. Q. Yang, “Projective cluster synchronization in drive-response dynamical networks,” Physica A: Statistical Mechanics and Its Applications, vol. 387, no. 14, pp. 3759–3768, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. X. J. Wu and H. T. Lu, “Projective lag synchronization of the general complex dynamical networks with distinct nodes,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 11, pp. 4417–4429, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  23. M. F. Hu, Y. Q. Yang, Z. Y. Xu, R. Zhang, and L. X. Guo, “Projective synchronization in drive-response dynamical networks,” Physica A: Statistical Mechanics and Its Applications, vol. 381, no. 1-2, pp. 457–466, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. J. R. Chen, L. C. Jiao, J. S. Wu, and X. D. Wang, “Projective synchronization with different scale factors in a drivenresponse complex network and its application in image encryption,” Nonlinear Analysis: Real World Applications, vol. 11, no. 4, pp. 3045–3058, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. L. H. Huang, Z. Y. Wang, Y. N. Wang, and Y. Zuo, “Synchronization analysis of delayed complex networks via adaptive time-varying coupling strengths,” Physics Letters A: General, Atomic and Solid State Physics, vol. 373, no. 43, pp. 3952–3958, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  26. Z. Li, L. C. Jiao, and J.-J. Lee, “Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength,” Physica A: Statistical Mechanics and Its Applications, vol. 387, no. 5-6, pp. 1369–1380, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. P. Li and Z. Yi, “Synchronization analysis of delayed complex networks with time-varying couplings,” Physica A: Statistical Mechanics and Its Applications, vol. 387, no. 14, pp. 3729–3737, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. P. deLellis, M. diBernardo, and F. Garofalo, “Novel decentralized adaptive strategies for the synchronization of complex networks,” Automatica, vol. 45, no. 5, pp. 1312–1318, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. J. H. Koo, D. H. Ji, and S. C. Won, “Synchronization of singular complex dynamical networks with time-varying delays,” Applied Mathematics and Computation, vol. 217, no. 8, pp. 3916–3923, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  30. D. H. Ji, J. H. Park, W. J. Yoo, S. C. Won, and S. M. Lee, “Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay,” Physics Letters A: General, Atomic and Solid State Physics, vol. 374, no. 10, pp. 1218–1227, 2010. View at Publisher · View at Google Scholar · View at Scopus
  31. B. Liu, W. Lu, and T. P. Chen, “Synchronization in complex networks with stochastically switching coupling structures,” IEEE Transactions on Automatic Control, vol. 57, no. 3, pp. 754–760, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. X. Zhou, H. Feng, and S. H. Chen, “The effect of control strength on the synchronization in pinning control questions,” Computers and Mathematics with Applications, vol. 61, no. 8, pp. 2014–2018, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  33. T. H. Lee, J. H. Park, D. H. Ji, O. M. Kwon, and S. M. Lee, “Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control,” Applied Mathematics and Computation, vol. 218, no. 11, pp. 6469–6481, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus