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

S. Saha Ray ()
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S. Saha Ray: National Institute of Technology, Department of Mathematics, Rourkela 769008, India

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 06, 1-15

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.

Keywords: Modified projective synchronization; modified hyperchaotic Pan system; hyperchaotic Liu system; stability of fractional-order systems; Routh–Hurwitz stability criterion; fractional-order Lyapunov direct method (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500819

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