Chaos Control and Synchronization in Fractional-Order Lorenz-Like System
Author
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The present paper deals with fractional-order version of a dynamical system introduced by Chongxin et al.
(2006).
The chaotic behavior of the system is studied using analytic and numerical methods.
The minimum effective dimension is identified for chaos to exist.
The chaos in the proposed system is controlled using simple linear feedback controller.
We design a controller to place the eigenvalues of the system Jacobian in a stable region.
The effectiveness of the controller in eliminating the chaotic behavior from the state trajectories is also demonstrated using numerical simulations.
Furthermore, we synchronize the system using nonlinear feedback.
American Psychological Association (APA)
Bhalekar, Sachin. 2012. Chaos Control and Synchronization in Fractional-Order Lorenz-Like System. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-485946
Modern Language Association (MLA)
Bhalekar, Sachin. Chaos Control and Synchronization in Fractional-Order Lorenz-Like System. International Journal of Differential Equations No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-485946
American Medical Association (AMA)
Bhalekar, Sachin. Chaos Control and Synchronization in Fractional-Order Lorenz-Like System. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-485946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485946