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Anti-synchronization of Liu system and Lorenz system with known or unknown parameters

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Abstract

This work is concerned with anti-synchronization of Liu system and Lorenz system. Based on Lyapunov stability theory, different controllers are designed to anti-synchronize the two non-identical chaotic systems, active control is used when parameters are known, while the adaptive control law and the parameter update rule are derived via adaptive control when parameters are uncertain. Moreover, the convergence speeds of the scheme can be adjusted by changing the control coefficients. Finally, numerical simulations are also shown to verify the results.

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Authors and Affiliations

  1. Department of Mathematics, Yancheng Teachers University, Jiangsu Yancheng, 224002, People’s Republic of China

    Zuo-Lei Wang & Xue-Rong Shi

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  1. Zuo-Lei Wang
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  2. Xue-Rong Shi
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Correspondence to Zuo-Lei Wang.

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Wang, ZL., Shi, XR. Anti-synchronization of Liu system and Lorenz system with known or unknown parameters. Nonlinear Dyn 57, 425–430 (2009). https://doi.org/10.1007/s11071-008-9452-1

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  • DOI: https://doi.org/10.1007/s11071-008-9452-1

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