Journal of Applied Mathematics

Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

Yi Chai, Liping Chen, and Ranchao Wu

Full-text: Open access

Abstract

This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 762807, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495020

Digital Object Identifier
doi:10.1155/2012/762807

Mathematical Reviews number (MathSciNet)
MR2872357

Zentralblatt MATH identifier
1235.93168

Citation

Chai, Yi; Chen, Liping; Wu, Ranchao. Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order. J. Appl. Math. 2012 (2012), Article ID 762807, 18 pages. doi:10.1155/2012/762807. https://projecteuclid.org/euclid.jam/1355495020


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