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Keywords = fractional discrete income change systems

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9 pages, 445 KiB  
Article
Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control
by Baogui Xin, Li Liu, Guisheng Hou and Yuan Ma
Entropy 2017, 19(7), 351; https://doi.org/10.3390/e19070351 - 11 Jul 2017
Cited by 32 | Viewed by 6021
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Complex Systems, Non-Equilibrium Dynamics and Self-Organisation)
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