Circuit Implementation of a New Fractional-Order Hyperchaotic System

In the paper, some basic dynamic properties of a new fractional-order hyperchaotic system were firstly investigated, such as the phase trajectory, bifurcation diagram, Lyapunov exponent etc. Then the paper designed an analog circuit to implement the fractional-order hyperchaotic system. The results from the circuit were consistent with those from the numerical analysis, and thus the hyperchaotic characteristics of the new fractional-order system are verified physically. It is very important to implement fractional-order hyperchaotic systems with more complicated dynamics for theoretical research and practical application. The new hyperchaotic system will provide a new model for engineering applications.