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二次分叉产生的周期多样性
引用本文:林锐,黄克累.二次分叉产生的周期多样性[J].力学学报,1989,21(1):95-100.
作者姓名:林锐  黄克累
作者单位:北京航空学院 (林锐,黄克累,陆启韶),北京航空学院(张安厚)
摘    要:

关 键 词:分叉  非线性振动  周期  平均摄动法

PERIODIC VARIETY CAUSED BY SECONDARY BIFURCATION
Lin Rui,Huang Kelei,Lu Qishao,Zhang Anhou.PERIODIC VARIETY CAUSED BY SECONDARY BIFURCATION[J].chinese journal of theoretical and applied mechanics,1989,21(1):95-100.
Authors:Lin Rui  Huang Kelei  Lu Qishao  Zhang Anhou
Institution:Beijing Institute of Aeronautics and Astronautics
Abstract:The problem of secondary bifurcation is studied in this paper by means of the generalized KB averaging perturbation method. Generally, a stable quasiperiodic motion can be caused by the secondary bifurcation in two coupled Van der Pol-Duffing nonlinear oscillators. Nevertheless, for some special values of detuning parameters periodic variety may occur due to the secondary bifurcation.
Keywords:Nonlinear oscillation  Bifurcation  Perturbation
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