Synchronization of Butterfly Fractional Order Chaotic System

Michal Fečkan, T. Sathiyaraj and JinRong Wang
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Michal Fečkan: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
T. Sathiyaraj: Department of Mathematics, Guizhou University, Guiyang 550025, Guizhou, China
JinRong Wang: Department of Mathematics, Guizhou University, Guiyang 550025, Guizhou, China

Mathematics, 2020, vol. 8, issue 3, 1-12

Abstract: 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.

Keywords: fractional calculus; stability theory; synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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