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Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2017, 19(7), 351; https://doi.org/10.3390/e19070351
Received: 21 May 2017 / Revised: 6 July 2017 / Accepted: 7 July 2017 / Published: 11 July 2017
(This article belongs to the Special Issue Complex Systems, Non-Equilibrium Dynamics and Self-Organisation)
By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional discrete system. By means of the stability principles of Caputo-like fractional discrete systems, we lastly design a controller to achieve chaos synchronization, and present some numerical simulations to illustrate and validate the synchronization scheme. View Full-Text
Keywords: fractional discrete systems; linear feedback control; chaos synchronization; fractional discrete income change systems fractional discrete systems; linear feedback control; chaos synchronization; fractional discrete income change systems
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Xin, B.; Liu, L.; Hou, G.; Ma, Y. Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control. Entropy 2017, 19, 351.

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