Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 964179, 13 pages
http://dx.doi.org/10.1155/2012/964179
Research Article

Complete Synchronization of Strictly Different Chaotic Systems

Departamento de Electrónica, CUCEI, Universidad de Guadalajara, Avenida Revolución No. 1500, 44430 Guadalajara, JAL, Mexico

Received 27 August 2012; Accepted 9 October 2012

Academic Editor: Yongkun Li

Copyright © 2012 Gualberto Solís-Perales. 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, “Synchronization in chaotic systems,” Physical Review Letters, vol. 64, no. 8, pp. 821–824, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. R. Femat, R. Jauregui-Ortiz, and G. Solís-Perales, “A chaos-based communication scheme via robust asymptotic feedback,” IEEE Transactions on Circuits and Systems I, vol. 48, pp. 1161–1169, 2002. View at Google Scholar
  3. F. Pasemann, “Synchronized chaos and other coherent states for two coupled neurons,” Physica D, vol. 128, p. 1970, 1995. View at Google Scholar
  4. A. Rodriguez-Angeles and H. Nijmeijer, “Mutual synchronization of robots via estimated state feedback: a cooperative approach,” IEEE Transactions on Control Systems Technology, vol. 12, no. 4, pp. 542–554, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, “Complex networks: structure and dynamics,” Physics Reports, vol. 424, no. 4-5, pp. 175–308, 2006. View at Publisher · View at Google Scholar
  6. X. F. Wang and G. Chen, “Synchronization in scale-free dynamical networks: robustness and fragility,” IEEE Transactions on Circuits and Systems, vol. 49, no. 1, pp. 54–62, 2002. View at Publisher · View at Google Scholar
  7. E. M. Elabbasy, H. N. Agiza, and M. M. El-Dessoky, “Adaptive synchronization of Lü system with uncertain parameters,” Chaos, Solitons and Fractals, vol. 21, no. 3, pp. 657–667, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. Y. Yu and S. Zhang, “Adaptive backstepping synchronization of uncertain chaotic system,” Chaos, Solitons and Fractals, vol. 21, no. 3, pp. 643–649, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. H. Fang, “Synchronization of two rank-one chaotic systems without and with delay via linear delayed feedback control,” Journal of Applied Mathematics, vol. 2012, Article ID 325131, 15 pages, 2012. View at Publisher · View at Google Scholar
  10. R. Femat and G. Solís-Perales, “On the chaos synchronization phenomena,” Physics Letters A, vol. 262, no. 1, pp. 50–60, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. A. Isidori, Nonlinear Control Systems, Springer, Berlin, Germany, 2nd edition, 1989.
  12. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization a Universal Concept in Nonlinear Sciences, Cambridge Nonlinear Science Series 12, Cambridge University Press, Cambridge, UK, 2001. View at Publisher · View at Google Scholar
  13. G. Solís-Perales, V. Ayala, W. Kliemann, and R. Femat, “Complete synchronizability of chaotic systems: a geometric approach,” Chaos, vol. 13, no. 2, pp. 495–501, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH