Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor

الملخص EN

In this paper, a new fractional-order system which has a chaotic attractor of the one-scroll structure is presented.

Firstly, the stability of the equilibrium points of the system is investigated.

And based on the stability analysis, the generation conditions of the one-scroll structure for the attractor are determined.

In a commensurate-order case, bifurcations with the variation of a system parameter are investigated as derivative orders decrease from 0.99.

In an incommensurate-order case, bifurcations with the variation of a derivative order are analyzed as other orders decrease from 1.