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文章基本信息

  • 标题:Applying Linear Controls to Chaotic Continuous Dynamical Systems
  • 本地全文:下载
  • 作者:James Braselton ; Yan Wu
  • 期刊名称:Open Journal of Applied Sciences
  • 印刷版ISSN:2165-3917
  • 电子版ISSN:2165-3925
  • 出版年度:2016
  • 卷号:06
  • 期号:03
  • 页码:141-152
  • DOI:10.4236/ojapps.2016.63015
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this case-study, we examine the effects of linear control on continuous dynamical systems that exhibit chaotic behavior using the symbolic computer algebra system Mathematica. Stabilizing (or controlling) higher-dimensional chaotic dynamical systems is generally a difficult problem, Musielak and Musielak, [1]. We numerically illustrate that sometimes elementary approaches can yield the desired numerical results with two different continuous higher order dynamical systems that exhibit chaotic behavior, the Lorenz equations and the Rössler attractor.
  • 关键词:Chaotic Dynamical System;Lorenz Equations;Rössler Attractor;Chaos;Hyperchaos;Control;Stability;Routh-Hurwitz Theorem;Characteristic Polynomial
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