Controlling hyperchaos in the new hyperchaotic Chen system

In this paper, we investigate the new hyperchaotic Chen system, which was present recently by introducing a feedback controller to the Chen system. The linear, speed, nonlinear doubly-periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium. The Routh-Hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic Chen systems. Moreover numerical simulations are used to verify the effectiveness of the proposed controllers.