Abstract
In this paper, the dynamic characteristics of a chaotic system without equilibrium point are studied. Through numerical simulation and theoretical analysis, the chaos characteristics of the system without equilibrium point are studied. In this paper, the synchronous control method based on state observer is used. First, the state observer system is designed according to the original system. And then the simulation results are obtained. At the end of this paper, we give the advantages and disadvantages of this synchronization method.