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Chaotic Synchronization Of Fractional-Order Spatiotemporal Coupled Lorenz System

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xing-Yuan Wang & Hao Zhang, 2012. "Chaotic Synchronization Of Fractional-Order Spatiotemporal Coupled Lorenz System," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(10), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:10:n:s0129183112500672
    DOI: 10.1142/S0129183112500672
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