期刊
CHAOS SOLITONS & FRACTALS
卷 119, 期 -, 页码 150-162出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.12.019
关键词
Fractional discrete-time calculus; Fractional Lozi map; Fractional flow map; Fractional Lorenz map; Chaos control; Chaos synchronization
In this paper, we propose three systems, namely the fractional Lozi map, the fractional Lorenz map, and the fractional flow map. We study some of the important dynamics of these maps including the bifurcation graphs. In addition, we propose control laws aimed at stabilizing and synchronizing a combination of these three maps. The convergence of the stabilized states and the synchronization errors is established by means of the linearization method. Numerical simulations are also presented to confirm the main findings of the study. (C) 2018 Elsevier Ltd. All rights reserved.
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