Controlling hyperchaos in the new hyperchaotic Chen system

摘要

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.