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Control Chaos in System with Fractional Order

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DOI: 10.4236/jmp.2012.36067    4,655 Downloads   8,051 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Y. Wang, X. Yin and Y. Liu, "Control Chaos in System with Fractional Order," Journal of Modern Physics, Vol. 3 No. 6, 2012, pp. 496-501. doi: 10.4236/jmp.2012.36067.

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