Next Article in Journal
A Hybrid Forward–Backward Algorithm and Its Optimization Application
Previous Article in Journal
Graph-Theoretic Problems and Their New Applications
Previous Article in Special Issue
A Novel Decay Rate for a Coupled System of Nonlinear Viscoelastic Wave Equations
Open AccessArticle

Synchronization of Butterfly Fractional Order Chaotic System

Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Department of Mathematics, Guizhou University, Guiyang 550025, Guizhou, China
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 446;
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
Show Figures

Figure 1

MDPI and ACS Style

Fečkan, M.; Sathiyaraj, T.; Wang, J. Synchronization of Butterfly Fractional Order Chaotic System. Mathematics 2020, 8, 446.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop