期刊
CHAOS SOLITONS & FRACTALS
卷 44, 期 10, 页码 845-850出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2011.06.017
关键词
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资金
- National Natural Science Foundation of China [60572073, 60871025]
- Natural Science Foundation of Guangdong Province [8151009001000060, 8351009001000002]
- Science and Technology Program of Guangdong Province [2009B010800037]
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. (C) 2011 Elsevier Ltd. All rights reserved.
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