| Based on the plasma three-wave coupling theory, this thesis mainly studies the basic equations of the plasma three-wave coupling system, illustrates that chaos exists in the plasma three-wave coupling system from many aspects, and gets three methods to control chaos in such system.This thesis consists of three sections. The first section briefly describes the fluctuations theory of plasma and the three-wave coupling theory of magnetized plasma, then deducts the dynamic equations of the three-wave coupling system. The second part studies the non-stability of the system with the method of numerical analysis, states the changing process of the system from the period-doubling bifurcation into chaos, and testifies the presence of chaos from chaotic attractor, time series and power spectrum respectively. At the last part of the thesis, the plasma three-wave coupling system is regulated from chaotic state to periodic state by using the three methods:external resonant wave control, small perturbation control, and phase shift control. As a result, the chaotic control of the plasma three-wave coupling system is achieved. |
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