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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

On the Synchronization of a Novel Fractional Order Chaotic System Using Nonlinear Control Method

Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 685--699 | DOI:10.5890/DNC.2023.09.014

Kumar Vishal$^1$, Saurabh Kumar Agrawal$^2$, Lokesh Kumar$^3$

$^1$ Department of Mathematics, Magadh University, Bodh Gaya-824234, India

$^2$ Department of Applied Sciences, Bharati Vidyapeeth's College of Engineering, New Delhi-110063, India

$^3$ Department of Mathematics, S.M. College, T.M. Bhagalpur University, Bhagalpur-812001, India

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Abstract

The present article studies chaos synchronization of a novel chaotic systems using nonlinear control method. Stability of system at equilibrium points are also discussed in brief for fractional order system. We use the nonlinear control method for synchronization between fractional order 3 scroll Dadras chaotic system with fractional order 2 scroll Lorenz and Chen chaotic systems. A nonlinear controller is designed for synchronization. Based on the design, the synchronization of considered chaotic systems is achieved only by using one controller. Nonlinear control method is a practicable method to synchronize chaotic systems. Adams-Boshforth-Moulton method is used for the computer simulation for integer order as well as fractional order in the Caputo sense. Graphical Results are also displayed to validate the effectiveness of the proposed method.

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