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Stability analysis and modified projective synchronization of fractional-order hyperchaotic dynamical systems using nonlinear controllers

Author

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  • S. Saha Ray

    (National Institute of Technology, Department of Mathematics, Rourkela 769008, India)

Abstract

This paper deals with the modified projective synchronization between two fractional-order four-dimensional (4D) hyperchaotic systems. Based on the Lyapunov stability theory, a new controller for the synchronization of two fractional-order hyperchaotic systems is developed. The stability analysis of the error dynamics system is performed by the fractional-order Lyapunov direct method alongwith Routh–Hurwitz stability criterion. Numerical simulations are presented to demonstrate the validity and verify the effectiveness of the proposed synchronization scheme.

Suggested Citation

  • S. Saha Ray, 2021. "Stability analysis and modified projective synchronization of fractional-order hyperchaotic dynamical systems using nonlinear controllers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-15, June.
    • Handle: RePEc:wsi:ijmpcx:v:32:y:2021:i:06:n:s0129183121500819
    DOI: 10.1142/S0129183121500819
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