A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom

被引：31
作者：
Chung, KW
Chan, CL
Xu, Z
Mahmoud, GM
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Zhongshan Univ, Dept Mech, Guangzhou, Peoples R China
[3] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt
来源：
NONLINEAR DYNAMICS | 2002年 / 28卷 / 3-4期
关键词：
limit cycles; strongly nonlinear coupled oscillators; Floquet method; bifurcation;
D O I：
10.1023/A:1015620928121
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The perturbation-incremental method is extended to determine the bifurcations and limit cycles of strongly nonlinear autonomous oscillators with many degrees of freedom. Coupled van der Pol oscillators and coupled Rayleigh oscillators are taken as numerical examples. Limit cycles of the oscillators can be calculated to any desired degree of accuracy. The stabilities of limit cycles are also discussed.
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页码：243 / 259
页数：17
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