Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 762807, 18 pages.
Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order
Yi Chai, Liping Chen, and Ranchao Wu
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
