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Open AccessArticle

Synchronization of Butterfly Fractional Order Chaotic System

1
Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
2
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
3
Department of Mathematics, Guizhou University, Guiyang 550025, Guizhou, China
4
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 446; https://doi.org/10.3390/math8030446
Received: 22 February 2020 / Revised: 13 March 2020 / Accepted: 14 March 2020 / Published: 19 March 2020
(This article belongs to the Special Issue Mathematical Methods in Nonlinear Waves and Dynamical Systems)
In this paper, we study the synchronization of a nonlinear fractional system, and analyze its time response and chaotic behaviors. We represent a solution for considered system by employing the Mittag-Leffler matrix function and Jacobian matrix. Thereafter, we prove synchronization of error system between drive-response systems using stability theory and linear feedback control methods. Finally, numerical simulations are presented to show the effectiveness of the theoretical results. View Full-Text
Keywords: fractional calculus; stability theory; synchronization fractional calculus; stability theory; synchronization
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Fečkan, M.; Sathiyaraj, T.; Wang, J. Synchronization of Butterfly Fractional Order Chaotic System. Mathematics 2020, 8, 446.

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