A New Chaotic Attractor Generated from a 3-d Autonomous System with One Equilibrium and Its Fractional Order Form
نویسندگان
چکیده
In this paper, a novel three-dimensional autonomous chaotic system is proposed. The proposed system contains four variational parameters, a cubic nonlinearity term (i.e. product of all the three states) and exhibits a chaotic attractor in numerical simulations. The basic dynamic properties of the system are analyzed by means of equilibrium points, Eigen values and Lyapunov exponents. Finally, the commensurate and non-commensurate fractional order form of the system which exhibits chaotic attractor is also analyzed.
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