Chaos in a fractional-order nonlinear Lorenz system

A fractional-order nonlinear Lorenz system, is foundin this paper. Chaos can exist in the fractional-order Lorenzsystem. The features of all equilibrium points for the fractionalordernonlinear Lorenz system are yield. According to thefeature of all equilibrium points, the necessary condition for theexistence of chaotic attractors in this fractional-order nonlinearLorenz system is obtained via the stability theory of fractional –order systems. The chaos attractors for this fractional-ordernonlinear Lorenz system are obtained by computer simulation.The numerical result confirm that the necessary condition existcorrectly.

Keywords:

nonlinear chaos Lorenz system , fractionalorder , stability theory of fractional-order systems , necessary condition , chaos attractor