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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;...
This paper indicates the chaotic essence of Duffing system and qualitatively selects the range of the amplitude parameter and the frequency parameter when system is in the state of chaos, which can effectively control the system to the desired state of chaos by making the global bifurcation diagram, phase diagram and poincare sections and analyzing its movement behavior with periodic excitation force...
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