Controlling hyperchaos in the new hyperchaotic system

The control problem of a new hyperchaotic system is investigated. The linear, speed, nonlinear doubly-periodic function feedback controls are used to suppress hyperchaos to unstable equilibrium. Limit cases of doubly-periodic function are considered and the hyperbolic function and trigonometric function feedback control laws are derived. The Routh–Hurwitz criterion is applied to study the conditions of the asymptotic stability of the controlled hyperchaotic system. Based on Mathematica program, numerical simulations are presented to demonstrate the effectiveness of the proposed controllers.