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K. Diethelm, N. J. Ford and A. D. Freed, “A Predictor-Corrector Approach for the Numerical Solution,” Nonlinear Dynamic, Vol. 29, No. 1-4, 2002, pp. 3-22. doi:10.1023/A:1016592219341

has been cited by the following article:

• TITLE: Control Chaos in System with Fractional Order

  AUTHORS: Yamin Wang, Xiaozhou Yin, Yong Liu

  KEYWORDS: Chaos; Fractional Order System; Nonlinear Feedback Control

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.6, June 25, 2012

  ABSTRACT: In this paper, by utilizing the fractional calculus theory and computer simulations, dynamics of the fractional order system is studied. Further, we have extended the nonlinear feedback control in ODE systems to fractional order systems, in order to eliminate the chaotic behavior. The results are proved analytically by stability condition for fractional order system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.