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Generalized Synchronization of Typical Fractional Order Chaos System

Author(s): Wenxian Xiao | Junhui Fu | Zhen Liu | Wenlong Wan

Journal: Journal of Computers
ISSN 1796-203X

Volume: 7;
Issue: 6;
Start page: 1519;
Date: 2012;
Original page

Keywords: fractional order chaotic system | generalized synchronization | controller | predictor algorithm

Based on the fractional calculus predictor-corrector algorithm and control design theory, generalized synchronization of dynamics of a chaotic system is investigated by linear or nonlinear feedback control, making the non-linear chaotic synchronization error system become linear systems, then synchronous controller was designed based on the stability theory of fractional linear systems [10], and the generalized synchronization of fractional order chaotic systems was fulfilled in different structures and the different order. The auxiliary system method is simple and effective. Detailed numerical results verify the effectiveness of our proposed new scheme.
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