Dynamic Behaviors of Generalized Fractional Chaotic Systems

In view of a new generalized fractional calculus proposed recently, this paper is devoted to applying the generalized fractional derivatives to study new generalized fractional chaotic systems. The chaotic properties depending on the new generalized fractional derivative are discussed and shown graphically. The generalized fractional derivative is described in the Caputo sense, and the finite difference approach for solving the generalized fractional chaotic system is presented. Since the generalized fractional derivative includes many existing fractional derivatives as special cases, we hope more attention will be brought into this field in the near future.