Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order
Joint Authors
Wu, Ranchao
Chen, Liping
Yi, Chai
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-17
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yi, Chai& Chen, Liping& Wu, Ranchao. 2011. Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993664
Modern Language Association (MLA)
Yi, Chai…[et al.]. Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993664
American Medical Association (AMA)
Yi, Chai& Chen, Liping& Wu, Ranchao. Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993664
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993664