Control and adaptive modified function projective synchronization of a new chaotic system

In this paper, the feedback control technique is used to suppress the chaos of a New chaotic system.Under some conditions on the parameters of the system, the controlled system is stable.Those conditions are based on the Routh-Hurwitz criterion.In addition, the adaptive modified function projective synchronization of two New chaotic systems is satisfied.To prove the asymptotic stability of solutions for the error system, we used the Lyapunov theorem of stability.Numerical experiment results are presented to display the impact of the proposed schemes.