Dynamics of Fractional-Order Chaotic and Hyper-Chaotic Systems

Authors

  • mathématique; Larbi Ben M’Hidi University, P.O.Box 358, Oum-El-Bouaghi, Algeria

Abstract

In this paper, a fractional-order chaotic and hyper-chaotic systems is proposed and its dynamics are investigated through numerical simulations.It is found that the variation of the fractionalorder can induce bifurcations. Properties of the system have been analyzed by means of Lyapunov exponents. The minimum effective dimensions have been identiï¬ed for chaos to exist in commensurate and incommensurate orders

Author Biography

  • , mathématique; Larbi Ben M’Hidi University, P.O.Box 358, Oum-El-Bouaghi, Algeria

    Prof

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Published

2019-05-27

Issue

Vol. 26 No. 2 (2019): Nonlinear Studies (NS)

Section

Articles

How to Cite

Dynamics of Fractional-Order Chaotic and Hyper-Chaotic Systems. (2019). Nonlinear Studies, 26(2). https://nonlinearstudies.com/index.php/nonlinear/article/view/1763