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  • 标题:Fractional-order Chua’s system: discretization, bifurcation and chaos
  • 本地全文:下载
  • 作者:Ravi P Agarwal ; Ahmed M A El-Sayed ; Sanaa M Salman
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:320
  • DOI:10.1186/1687-1847-2013-320
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we are interested in the fractional-order form of Chua’s system. A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the fractional-order parameter are discussed. We show that the proposed discretization method is different from other discretization methods, such as predictor-corrector and Euler methods, in the sense that our method is an approximation for the right-hand side of the system under study.
  • 关键词:Chua’s system ; fractional-order differential equations ; fixed points ; asymptotic stability ; chaotic attractor ; bifurcation ; chaos
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