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文章基本信息

  • 标题:Stability & Chaos Tests of 2D Discrete Time Dynamical System with Hidden Attractors
  • 本地全文:下载
  • 作者:Maysoon M. Aziz ; Omar M. Jihad
  • 期刊名称:Open Access Library Journal
  • 印刷版ISSN:2333-9705
  • 电子版ISSN:2333-9721
  • 出版年度:2021
  • 卷号:8
  • 期号:6
  • 页码:1-11
  • DOI:10.4236/oalib.1107501
  • 语种:English
  • 出版社:Scientific Research Pub
  • 摘要:In this research two-dimensional dynamical system was taken. The system was analyzed through its fixed points, stability analysis, chaos diagnoses and adaptive control technique. It was found that the system had a hidden attractor and unstable fixed points. The largest value of Lyapunov exponent equals 1.853981 and from binary test we get: k = 0.9305, which indicates that the system is chaotic. Adaptive control technique was performed, and it was found that the system is stable and regular after control.
  • 关键词:Hidden AttractorsChaosLyapunov ExponentLyapunov DimensionBinary TestAdaptive Control
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