Generation of multi-wing chaotic attractor in fractional order system

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• 作者：Chaoxia Zhang^a ; ^b ; ^{chaoxia_zhang@163.com} ; Simin Yu^b
• 刊名：Chaos, Solitons and Fractals
• 出版年：2011
• 出版时间：October, 2011
• 年：2011
• 卷：44
• 期：10
• 页码：845-850
• 全文大小：1K

文摘

In this paper, a novel approach is proposed for generating multi-wing chaotic attractors from the fractional linear differential system via nonlinear state feedback controller equipped with a duality-symmetric multi-segment quadratic function. The main idea is to design a proper nonlinear state feedback controller by using four construction criterions from a fundamental fractional differential nominal linear system, so that the controlled fractional differential system can generate multi-wing chaotic attractors. It is the first time in the literature to report the multi-wing chaotic attractors from an uncoupled fractional differential system. Furthermore, some basic dynamical analysis and numerical simulations are also given, confirming the effectiveness of the proposed method.