Skip to main content

Fractional Inverse Matrix Projective Combination Synchronization with Application in Secure Communication

  • Conference paper
  • First Online:
Proceedings of International Conference on Artificial Intelligence and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1164))

Abstract

In this article, the fractional inverse matrix projective combination synchronization has been attained in the presence of external disturbances and uncertainties among fractional-order complex chaotic systems. Application in the field of secure communication has been illustrated with help of an example.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A.C. Luo, A theory for synchronization of dynamical systems. Commun. Nonlin. Sci. Numer. Simul. 14(5), 1901–1951 (2009)

    Google Scholar 

  2. L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990). https://doi.org/10.1103/PhysRevLett.64.821, https://link.aps.org/, https://doi.org/10.1103/physrevlett.64.821

  3. E.D. Dongmo, K.S. Ojo, P. Woafo, A.N. Njah, Difference synchronization of identical and nonidentical chaotic and hyperchaotic systems of different orders using active backstepping design. J. Comput. Nonlin. Dyn. 13(5), 051, 005 (2018)

    Google Scholar 

  4. A. Khan, D. Khattar, N. Prajapati, Multiswitching compound antisynchronization of four chaotic systems. Pramana 89(6), 90 (2017)

    Article  Google Scholar 

  5. J. Sun, Y. Shen, G. Cui, Compound synchronization of four chaotic complex systems. Adv. Mathe. Phys. (2015)

    Google Scholar 

  6. A. Khan et al., Increased and reduced order synchronisations between 5d and 6d hyperchaotic systems. Indian J. Ind. Appl. Math. 8(1), 118–131 (2017)

    Google Scholar 

  7. A. Khan, A. Tyagi, Disturbance observer-based adaptive sliding mode hybrid projective synchronisation of identical fractional-order financial systems. Pramana 90(5), 67 (2018)

    Article  Google Scholar 

  8. A. Khan, P. Trikha, Compound difference anti-synchronization between chaotic systems of integer and fractional order. SN Appl. Sci. (2019)

    Google Scholar 

  9. A. Ouannas, X. Wang, V.T. Pham, T. Ziar, Dynamic analysis of complex synchronization schemes between integer order and fractional order chaotic systems with different dimensions. Complexity (2017)

    Google Scholar 

  10. M.H. Tavassoli, A. Tavassoli, M.O. Rahimi, The geometric and physical interpretation of fractional order derivatives of polynomial functions. Differ. Geom. Dyn. Syst. 15, 93–104 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pushali Trikha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Khan, A., Jahanzaib, L.S., Trikha, P. (2021). Fractional Inverse Matrix Projective Combination Synchronization with Application in Secure Communication. In: Bansal, P., Tushir, M., Balas, V., Srivastava, R. (eds) Proceedings of International Conference on Artificial Intelligence and Applications. Advances in Intelligent Systems and Computing, vol 1164. Springer, Singapore. https://doi.org/10.1007/978-981-15-4992-2_10

Download citation

Publish with us

Policies and ethics