Skip to main content
SpringerLink
Log in

Increased-order generalized synchronization of chaotic and hyperchaotic systems

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

This paper presents increased-order generalized synchronization (GS) of chaotic and hyperchaotic systems with different order based on active control technique. By this technique, we design suitable control functions to achieve GS between (i) a new three-dimensional (3D) chaotic system and four-dimensional (4D) hyperchaotic Lorenz system and (ii) four-dimensional hyperchaotic Lorenz system and five-dimensional (5D) hyperchaotic Lorenz system. The corresponding numerical simulation results are presented to verify the effectiveness of this technique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8

Similar content being viewed by others

References

  1. L M Pecora and T L Carrol, Phys. Rev. Lett. 64, 821 (1990)

  2. A N Njah and K S Ojo, Int. J. Mod. Phys. B 24(23), 4581 (2010)

  3. Jianping Cai Meili Lin and Zhengzhong Yuan, Math. Comput. Appl. 15(2), 166 (2010)

  4. T-L Liao and S-H Tsai, Chaos, Solitons and Fractals 11, 1387 (2000)

  5. J Lü and G Chen, Int. J. Bifurcat. Chaos 16(4), 775 (2006)

  6. H N Agiza, Nonlin. Anal. 58, 11 (2004)

  7. N F Rulkov, M M Sushchik and L S Tsimring, Phys. Rev. E 51, 980 (1995)

  8. M G Rosenblum, A S Pikovsky and J Kurths, Phys. Rev. Lett. 76, 1804 (1996)

  9. M G Rosenblum, A S Pikovsky and J Kurths, Phys. Rev. Lett. 78, 4193 (1997)

  10. D Xu, Phys. Rev. E 63, 27201 (2001)

  11. H Du, Q Zeng and C Wong, Phys. Lett. A 372(33), 5402 (2008)

  12. R Zheng, Y Yang, Z Xu and M Hu, Phys. Lett. A 374, 3025 (2010)

  13. G-H Li, Chin. Phys. 16(9), 2608 (2007)

  14. L Kocarev and U Parlitz, Phys. Rev. Lett. 74(25), 5028 (1995)

  15. Q-Y Miao, J-A Fang, Y Tang and A-H Dong, Chin. Phys. Lett. 26(5), 050501 (2009)

  16. L Lü, L Luan and Z-A Guo, Chin. Phys. 16(2), 346 (2007)

  17. Zhiyong Sun, Gangquan Si, Fuhong Min and Yanbin Zhang, Nonlin. Dyn. 68(4), 471

  18. R Femat and G Solis-Perales, Phys. Rev. E 65, 036226 (2002)

  19. J Chen and Z R Liu, Chin. Phys. Lett. 20, 1441 (2003)

  20. S Bowong and P V E McClintock, Phys. Lett. A 358, 134 (2006)

  21. M C Ho, Y C Hung, Z Y Liu and I M Jiang, Phys. Lett. A 348, 251 (2006)

  22. O E Rössler, Phys. Rev. A 71, 155157 (1979)

  23. G Vindal and H Mancini, Int. J. Bifurcat. Chaos 20(3), 885 (2010)

  24. N F Rolkov, M M Sushchik and L S Tsimring, Phys. Rev. E 51, 980 (1995)

Download references

Author information

Authors and Affiliations

  1. Department of Physics, The Federal University of Technology, Akure, P. M. B. 704 Akure, Ondo State, Nigeria

    K S OJO, S T OGUNJO & I A FUWAPE

  2. Department of Physics, Federal University of Agriculture, Abeokuta, P. M. B. 2240 Abeokuta, Ogun State, Nigeria

    K S OJO & A N NJAH

Authors
  1. K S OJO
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S T OGUNJO
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A N NJAH
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I A FUWAPE
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K S OJO.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

OJO, K.S., OGUNJO, S.T., NJAH, A.N. et al. Increased-order generalized synchronization of chaotic and hyperchaotic systems. Pramana - J Phys 84, 33–45 (2015). https://doi.org/10.1007/s12043-014-0835-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-014-0835-1

Keywords

PACS Nos

Search

Navigation