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Function projective synchronization of two novel four-scroll hyperchaotic systems by adaptive control

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Abstract

Function projective synchronization (FPS) of two novel hyperchaotic systems with four-scroll attractors, which have been found up to the present, is investigated. Adaptive control is employed in the situation that system parameters are unknown. Based on Lyapunov stability theory, an adaptive controller and a parameter update law are designed so that the two systems can be synchronized asymptotically by FPS. Numerical simulation is provided to show the effectiveness of the proposed adaptive controller and the parameter update law.

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Authors and Affiliations

  1. Institute of Applied Sciences, Shanghai Dianji University, Shanghai, 201306, People’s Republic of China

    Z. W. Sun

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  1. Z. W. Sun
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Correspondence to Z. W. Sun.

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Sun, Z.W. Function projective synchronization of two novel four-scroll hyperchaotic systems by adaptive control. Indian J Phys 87, 275–280 (2013). https://doi.org/10.1007/s12648-012-0216-x

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  • DOI: https://doi.org/10.1007/s12648-012-0216-x

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