CHAOTIC SYNCHRONIZATION OF FRACTIONAL-ORDER SPATIOTEMPORAL COUPLED LORENZ SYSTEM

Xing-Yuan Wang () and Hao Zhang ()
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Xing-Yuan Wang: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, P. R. China
Hao Zhang: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 10, 1-13

Abstract: By utilizing the fractional calculus techniques and spatiotemporal chaos theory, this paper brings Lorenz system to fractional-order spatiotemporal coupled differential equation for the first time, and proposes the fractional-order spatiotemporal coupled Lorenz system. Based on that, we study the problem of chaotic synchronization of fractional-order spatiotemporal coupled Lorenz systems, design the linear controller and nonlinear controller by utilizing the Lyapunov stability theory and prove the correctness in theory. The numerical simulation results demonstrate the validity of controllers in high-dimension fractional-order spatiotemporal coupled Lorenz system.

Keywords: Fractional-order spatiotemporal coupled Lorenz system; Lyapunov stability theory; coupled differential equation; chaotic synchronization; 89.75.-k; 05.45.Xt; 05.45.Gg (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500672

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