文章基本信息

标题：Hidden attractors localization in Chua circuit via the describing function method
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作者：N.V. Kuznetsov ; O.A. Kuznetsova ; G.A. Leonov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：2651-2656
DOI：10.1016/j.ifacol.2017.08.470
语种：English
出版社：Elsevier
摘要：AbstractIn this paper the Chua circuit with five linear elements and saturation non-linearity is studied. Numerical localization of self-excited attractor in the Chua circuit model can be done by computation of trajectory with initial data in a vicinity of an unstable equilibrium. For a hidden attractor its basin of attraction does not overlap with a small vicinity of equilibria, so it is difficult to find the corresponding initial data for localization. This survey is devoted to the application of describing function method for localization of hidden periodic and chaotic attractors in the Chua model. We use a rigorous justification of the describing function method, based on the method of small parameter, to get the initial data for the visualization of the hidden attractors. A new configuration of hidden Chua attractors is presented.
关键词：KeywordsChua circuithidden attractorself-excited attractordescribing function method