Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
Citation:
Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
Citation:
Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
In this paper the system of the forced vibration -λ1T+λ2T2+λ3T3=ε(gcosωt-ε'T) is discussed, which contains square and cubic items. The critical condition that the systementers chaotic states is given by the Melnikov method. By Poincarmap, phase portrait and time-displacement history diagram, whether the chaos occurs is determined.
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Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.
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