Study On Control And Synchronization Of Sudden Occurrence Chaos

The paper,according to the dynamics theories about Sudden Occurrence Chaos and feedforward control,rely on the predictive orbits,we have completed the controllable problem of Sudden Occurrence Chaos.Furthermore,we have studied a novel FRC approach to controlling chaos in one-dimensional discrete-time nonlinear autonomous systems by comparing with the ideas of feedback control and feedforward control and predictive orbits of Sudden Occurrence Chaos.Finally,we firstly study complete synchronization of Sudden Occurrence Chaos,presenting the stable analysis of periodic orbit and realizing the synchronization of Sudden Occurrence Chaos.In this paper,we have completed the controllable problem of Sudden Occurrence Chaos.We design controller by analysis of dynamics character of Sudden Occurrence Chaos and relying on the predictive orbits.From basic concepts of stable orbits and numerical simulations,we completed the controllable problem of Sudden Occurrence Chaos.Secondly,we have studied a novel FRC approach to controlling chaos in one-dimensional discrete-time nonlinear autonomous systems by comparing with the ideas of feedback control and feedforward control and predictive orbits of Sudden Occurrence Chaos.In fact,FRC applies a proper "excitation",this "excitation" is different from the excitation of feedforward control.The feedforward control applies a proper external "excitation" that do not rely on the predictive orbits of system. However,FRC applies a proper "excitation" that rely on the predictive orbits of system.On the other hand,the feedback of feedback control is independent of predictive orbits of system.We can control Sudden Occurrence Chaos to different stable s-periodic orbits by choosing different stability coefficient.Because of efficacy and facility,FRC looks highly promising and may have diverse applications like physics and electronic engineering.Finally,we firstly study complete synchronization of Sudden Occurrence Chaos by presenting the stable analysis of periodic orbit of Sudden Occurrence Chaos.