Fractional order hperjerk system with delay feedback

In this paper, a fractional order hyperjerk system is considered. Firstly, we construct the fractional order hyperjerk system's corresponding approximation integer order system by using time domain and frequency domain. Then, we analyze the dynamic properties of this integer order system, including stability, periodic solution and chaos. The application to chaotic delayed feedback control is investigated. Finally, some numerical simulations are carried out to illustrate the obtained results.