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Dynamic Analysis of a 5D Fractional-order Hyperchaotic System

Shan Wang and Ranchao Wu*
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1003-1010, 2017

Abstract : "In this paper, the fractional-order 5D hyperchaotic system is proposed based on the hyperchaotic Lorenz system. Fractional-order chaotic systems are often three- or four-dimensional. There are few results about high dimension fractional-order systems. For this 5D hyperchaotic system, the stability of equilibrium points is analyzed by means of the stability theory of fractional systems. Then the fractional bifurcation is investigated. It is found that the system admits bifurcations with varying fractional-order and parameters, respectively. Under different bifurcation parameters, some conditions ensuring the bifurcations are presented. Finally, numerical simulations are presented to confirm the given analytical results."

Keyword : Bifurcation, 5D fractional system, hyperchaotic, stability.

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