Abstract A parametrically excited oscillator with strong nonlinearity, including van der Pol 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.
Received: 16 April 2002
Revised: 29 May 2002
Accepted manuscript online:
(Oscillators, pulse generators, and function generators)
Fund: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No 011JJY2007).
Cite this article:
Tang Jia-Shi (唐驾时), Fu Wen-Bin (符文彬), Li Ke-An (李克安) Bifurcations of a parametrically excited oscillator with strong nonlinearity 2002 Chinese Physics 11 1004
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
