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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Stability Analysis, Control of Simple Chaotic System and its Hybrid Projective Synchronization with Fractional Lu System

Journal of Applied Nonlinear Dynamics 9(1) (2020) 93--107 | DOI:10.5890/JAND.2020.03.008

Vijay K. Yadav, Vijay K. Shukla, Mayank Srivastava, Subir Das

Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi-221005, India

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Abstract

In this article, the stability analysis and chaos control of Simple chaotic system have been discussed. A new lemma based on Caputo derivative is used during the stability analysis of the fractional order Simple chaotic system through Lyapunov stability theory. During hybrid projective synchronization the Simple chaotic system is considered as drive system and Lu chaotic system is taken as response system. Nonlinear control method has been used to analyse the hybrid projective synchronization of fractional systems. For numerical simulations Adams-Bashforth-Moulton method has been used and results obtained are presented graphically.

Acknowledgments

The authors are extending their heartfelt thanks to the revered reviewers for their valuable comments to upgrade the present manuscript.

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