Synchronization and control of chaos in five-elements system

Abstract This study uses the chaotic dynamic system of the meridians of healthy people as the driving system and the current dynamic system of the patient as the response system. Relying on clinical data collected by the self-developed meridian collection instrument, a suitable controller is carefully designed according to the Lyapunov stability principle, and the simulated synchronization of the two dynamic systems is successfully achieved. At the same time, a linear feedback controller was designed and incorporated into the nonlinear five-elements chaotic system to achieve control over the system. Based on the controller parameter values in the simulated synchronization state, the meridian instrument is used for real-time monitoring to ensure that the corresponding values are always consistent with the values of the simulated controller, so that the patient's state and the healthy state converge, and finally achieve the treatment purpose. The experimental results fully demonstrate that the method proposed in this study is practical and effective.