Open Access
2012 Chaos Control and Synchronization in Fractional-Order Lorenz-Like System
Sachin Bhalekar
Int. J. Differ. Equ. 2012(SI2): 1-16 (2012). DOI: 10.1155/2012/623234


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.


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Sachin Bhalekar. "Chaos Control and Synchronization in Fractional-Order Lorenz-Like System." Int. J. Differ. Equ. 2012 (SI2) 1 - 16, 2012.


Received: 6 May 2012; Accepted: 22 June 2012; Published: 2012
First available in Project Euclid: 2 October 2020

zbMATH: 1251.34077
MathSciNet: MR2959772
Digital Object Identifier: 10.1155/2012/623234

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI2 • 2012
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