Study On Chaos Contralling And Measure Synchronization In Hamiltonian Systems

In this paper, we introduced the method for controlling chaos in coupled Duffing Hamiltonian systems, we focus on the Gaussian white noise of the MS in coupled Duffing Hamiltonian systems and also with the rules of the state measure linked to the impact of the phase synchronization, examining their stability problems. By using the principle of MS, we also studied chaos control on the coupled standard maps and coupled Duffing Hamiltonian systems, found that the control method is simple and stable, thereby increasing the control of conservative systems. At the same time in the course of the study has given a numerical measure to determine the method of MS, and changed the measure to determine the phase by diagram. In the end chapter, we also learned the three coupled Duffing oscillator closed-loop coupling Hamiltonian approach to its MS and analyzed the phase synchronization of closed-loop coupling systems. The MS took place earlier than in the open-loop coupling systems at the same conditions.