Hyperchaos synchronization and control using intermittent feedback

Abstract

Based on the stability theory,intermittent feedback scheme is proposed to synchronize and control the four-dimensional continuous hyperchaotic Rssler and LC systems. The systems are directed to reach arbitrary desired target within about 8 to 35 time units and realize complete synchronization within about 15 to 50 time units under this scheme by selecting right autonomous period Ta, controlling period Ts and gain coefficient k.The advantage of this scheme is that the controller is designed analytically in detail,not only relying on the common numerical simulation.The controller works only on certain period and the system develops freely in other periods. The numerical simulation results confirmed its effectiveness and gave evidence that shorter transient period before reaching desired target requires bigger feedback coefficient k,and it is consistent with the theoretical analysis.