• DocumentCode
    3195551
  • Title

    Estimate the largest Lyapunov exponent of fractional-order systems

  • Author

    Zhang, Weiwei ; Zhou, Shangbo ; Liao, Xiaofeng ; Mai, Huanhuan ; Xiao, Ke

  • Author_Institution
    Comput. Dept., Chongqing Univ., Chongqing
  • fYear
    2008
  • fDate
    25-27 May 2008
  • Firstpage
    1121
  • Lastpage
    1124
  • Abstract
    In this paper, the small data sets algorithm of calculating the Largest Lyapunov exponent for integer-order systems is used for fractional order systems. As an example, the largest Lyapunov exponent of the fractional-order Rossler system is investigated. The lowest order for this system to have chaotic behavior is presented. The largest Lyapunov exponents of fractional-order Rossler system with different orders and parameters are given.
  • Keywords
    Lyapunov methods; chaos; nonlinear control systems; chaotic behavior; data sets algorithm; fractional-order Rossler system; integer-order systems; largest Lyapunov exponent; Chaos; Circuits; Control systems; Delay effects; Delay systems; Equations; Fractional calculus; History; Numerical simulation; Physics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
  • Conference_Location
    Fujian
  • Print_ISBN
    978-1-4244-2063-6
  • Electronic_ISBN
    978-1-4244-2064-3
  • Type

    conf

  • DOI
    10.1109/ICCCAS.2008.4657964
  • Filename
    4657964
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3195551