Bifurcations of a parametrically excited oscillator with strong nonlinearity

Bifurcations of a parametrically excited oscillator

with strong nonlinearity

唐驾时;符文彬;李克安

【期刊名称】《中国物理：英文版》 【年(卷),期】2002(011)010

【摘要】A parametrically excited oscillator with strong nonlinearity, including van der Poi and Duffing types, is studied for static bifurcations. The applicable range of the modified Lindstedt-Poincaré method is extended to 1/2 subharmonic resonance systems. The bifurcation equation of a strongly nonlinear oscillator, which is transformed into a small parameter system, is determined by the multiple scales method. On the basis of the singularity theory, the transition set and the bifurcation diagram in various regions of the parameter plane are analysed.

【总页数】4页(1004-1007)

【关键词】strongly nonlinear oscillator;parameter excitation;bifurcation 【作者】唐驾时;符文彬;李克安

【作者单位】Department of Mechanics, Hunan University, Changsha 410082, China;Department of Mechanics, Hunan University, Changsha 410082, China;Yueyang Normal College, Yueyang 411400, China 【正文语种】中文 【中图分类】O4