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Tracking control and synchronization of the new hyperchaotic Liu system via backstepping techniques

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Abstract

In this paper, recursive and active backstepping nonlinear techniques are employed to design control functions for the respective, control, and synchronization of the new hyperchaotic Liu system. The designed recursive backstepping nonlinear controllers are capable of stabilizing the hyperchaotic Liu system at any position as well as controlling it to track any trajectory that is a smooth function of time. The designed active backstepping nonlinear controllers are effective in globally synchronizing two identical hyperchaotic Liu systems evolving from different initial conditions. The results are all validated by numerical simulations.

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Authors and Affiliations

  1. Nonlinear Dynamics Research Group, Department of Physics, University of Agriculture Abeokuta, P.M.B. 2240, Abeokuta, Nigeria

    A. N. Njah

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  1. A. N. Njah
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Correspondence to A. N. Njah.

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Njah, A.N. Tracking control and synchronization of the new hyperchaotic Liu system via backstepping techniques. Nonlinear Dyn 61, 1–9 (2010). https://doi.org/10.1007/s11071-009-9626-5

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  • DOI: https://doi.org/10.1007/s11071-009-9626-5

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