Research on chaotic control of Lorenz system under periodic force

The nonlinear kinetic Lorenz equation for describing atmospheric turbulence is also regarded as the basic kinetic model in oceanic kinetics. In this paper, the bifurcation diagram, phase diagram, time-distance diagram and power spectrum diagram according to the classical Lorenz system are simulated; the kinetic characteristics of the system are analyzed; the parameter values leading to chaos are given; the kinetic characteristics of interactions between ocean internal waves (as an external incentive) with different frequencies and systemic sounds are theoretically studied and simulated when chaos occurs. The results show that if the external incentives include more frequencies, the amplitude is much bigger, then the chaos is more obviously, and the frequency band of line spectrum is much wider.