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Hybrid Synchronization of Fractional Order Hyper Chaotic Chen and Lu Systems using Active Control Method

Vijay K. Yadav, Mayank Srivastava, Prashant K. Mishra, Vivekmishra, , Saurabh K. Agrawal Published in Information Sciences

IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization
Year of Publication: 2015
© 2015 by IJAIS Journal
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  1. Vijay K Yadav, Mayank Srivastava, Prashant K Mishra, Vivekmishra and Saurabh K Agrawal. Article: Hybrid Synchronization of Fractional Order Hyper Chaotic Chen and Lu Systems using Active Control Method. IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization ICWCCV 2015(2):36-40, September 2015. BibTeX

    @article{key:article,
    	author = "Vijay K. Yadav and Mayank Srivastava and Prashant K. Mishra and Vivekmishra and and Saurabh K. Agrawal",
    	title = "Article: Hybrid Synchronization of Fractional Order Hyper Chaotic Chen and Lu Systems using Active Control Method",
    	journal = "IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization",
    	year = 2015,
    	volume = "ICWCCV 2015",
    	number = 2,
    	pages = "36-40",
    	month = "September",
    	note = "Published by Foundation of Computer Science, New York, USA"
    }
    

Abstract

In this article, the active control method is used for hybrid synchronization between two fractional order hyperchaotic systems, Chen hyperchaotic system taken as the master system and the other fractional order hyperchaoticLu system taken as slave system separately. The fractional derivative is described in Caputo sense. Numerical simulation results which are carried out using Adams–Bashforth–Moulton method show that the method is easy to implement and reliable for hybrid synchronizing the two nonlinear fractional order chaotic systems while it also allows both the systems to remain in chaotic states.

Reference

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Keywords

Fractional order, Hyperchaotic system, Active control method, Synchronization, Anti-synchronization.