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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A.C. Luo, A theory for synchronization of dynamical systems. Commun. Nonlin. Sci. Numer. Simul. 14(5), 1901–1951 (2009)
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
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)
A. Khan, D. Khattar, N. Prajapati, Multiswitching compound antisynchronization of four chaotic systems. Pramana 89(6), 90 (2017)
J. Sun, Y. Shen, G. Cui, Compound synchronization of four chaotic complex systems. Adv. Mathe. Phys. (2015)
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)
A. Khan, A. Tyagi, Disturbance observer-based adaptive sliding mode hybrid projective synchronisation of identical fractional-order financial systems. Pramana 90(5), 67 (2018)
A. Khan, P. Trikha, Compound difference anti-synchronization between chaotic systems of integer and fractional order. SN Appl. Sci. (2019)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights 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
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
DOI: https://doi.org/10.1007/978-981-15-4992-2_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-4991-5
Online ISBN: 978-981-15-4992-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)