• شماره ركورد كنفرانس
    3503
  • عنوان مقاله

    Stability analysis and numerical solution of a novel fractional–order chaotic system

  • Author/Authors
    M. Namjoo School of Mathematical Sciences - Vali–e–Asr University of Rafsanjan , A. Mohammadhasani Sirjan University of Technology
  • كليدواژه
    Chaos , Grünwald–Letnikov derivative , Stability , Fractional calculus , Nonstandard finite difference scheme
  • سال انتشار
    شهريور 1395
  • عنوان كنفرانس
    چهل و هفتمين كنفرانس رياضي ايران
  • زبان مدرك
    انگليسي
  • چكيده لاتين
    In this paper, we introduce a novel three–dimensional fractional–order chaotic system with a single cubic nonlinearity. Stability analysis of the fractional–order system is studied using the fractional Routh–Hurwitz criteria. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the novel fractional–order chaotic system. The lowest order for the system to remain chaotic is found via numerical simulation
  • كشور
    ايران
  • تعداد صفحه 2
    6
  • از صفحه
    1
  • تا صفحه
    6